{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "nbsphinx": "hidden"
   },
   "source": [
    "# Spectral Analysis of Deterministic Signals\n",
    "\n",
    "*This jupyter notebook is part of a [collection of notebooks](../index.ipynb) on various topics of Digital Signal Processing. Please direct questions and suggestions to [Sascha.Spors@uni-rostock.de](mailto:Sascha.Spors@uni-rostock.de).*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Window Functions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the discussion of the leakage effect in the [previous section](leakage_effect.ipynb), a hard truncation of the signal $x[k]$ by a rectangular window $w[k] = \\text{rect}_N[k]$ was assumed. Also other window functions are used for spectral analysis. The resulting properties depend on the spectrum $W(\\mathrm{e}^{\\,\\mathrm{j}\\, \\Omega})$ of the window function, since the spectrum of the windowed signal is given by periodic convolution $X_N(\\mathrm{e}^{\\,\\mathrm{j}\\, \\Omega}) = \\frac{1}{2 \\pi} X(\\mathrm{e}^{\\,\\mathrm{j}\\, \\Omega}) \\circledast W(\\mathrm{e}^{\\,\\mathrm{j}\\, \\Omega})$. For an exponential signal $x[k] = \\mathrm{e}^{\\mathrm{j} \\Omega_0 k}$ this operation will result in a cyclic shift of the spectrum of the window function $W(\\mathrm{e}^{\\,\\mathrm{j}\\, \\Omega})$ by $\\Omega_0$.\n",
    "\n",
    "Different window functions have different properties. For instance with respect to the capability to distinguish two neighboring signals (frequency resolution) or to detect two signals when one is much weaker (sidelobe level). Since these two aspects counteract for typical window functions, the choice of a suitable window depends heavily on the application. First a look is taken at frequently applied window functions and their spectral properties. Then the window functions are compared by commonly used evaluation metrics."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to investigate the windows, a function is defined which computes and plots the magnitude spectrum of a given window function. The discrete-time Fourier transform (DTFT) $W(\\mathrm{e}^{\\,\\mathrm{j}\\, \\Omega})$ is approximated numerically by the DFT."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.signal as sig\n",
    "\n",
    "\n",
    "def dft_window_function(w):\n",
    "    \"\"\"Calculates and plots the magnitude spectrum of a window function.\n",
    "\n",
    "    Arguments:\n",
    "    w:  window function\n",
    "    \"\"\"\n",
    "    N = len(w)\n",
    "\n",
    "    # DFT of window function\n",
    "    W = np.fft.fft(w, 8192)\n",
    "    W = np.fft.fftshift(W)\n",
    "    W = W / np.amax(W) + np.nextafter(0, 1)\n",
    "    mu = np.linspace(-np.pi, np.pi, 8192)\n",
    "\n",
    "    # plot window function and its spectrum\n",
    "    plt.rcParams[\"figure.figsize\"] = 10, 5\n",
    "    plt.stem(w, basefmt=\" \")\n",
    "    plt.xlabel(r\"$k$\")\n",
    "    plt.ylabel(r\"$w[k]$\")\n",
    "    plt.axis([-1, N + 1, -0.1, 1.1])\n",
    "    plt.grid()\n",
    "\n",
    "    plt.figure()\n",
    "    plt.plot(mu, 20 * np.log10(np.abs(W)))\n",
    "    plt.xlabel(r\"$\\Omega$\")\n",
    "    plt.ylabel(r\"$| W(e^{j \\Omega}) |$ in dB\")\n",
    "    plt.axis([-np.pi, np.pi, -100, 5])\n",
    "    plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rectangular Window"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The [rectangular window](https://en.wikipedia.org/wiki/Window_function#Rectangular_window) $w[k] = \\text{rect}_N[k]$ takes all samples with equal weight into account. The main lobe of its magnitude spectrum is narrow, but the level of the side lobes is rather high. It has the highest frequency selectivity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dft_window_function(np.ones(64))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Triangular Window"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For an odd window length $2N - 1$, the [triangular window](https://en.wikipedia.org/wiki/Window_function#Triangular_window) can be expressed as the convolution of two rectangular windows $w[k] = \\text{rect}_N[k] * \\text{rect}_N[k]$. The main lobe is wider than for the rectangular window, but the level of the side lobes decays faster."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BBx8EABQKBdxyyy2YNm0aXn31VQwMDOBjH/sYJEnCt7/97TP8FxAEQRATwWSKlLG6tv4EbQ4SBEGc7UwJUXbjjTfixhtvVP+9cOFCHDhwAN/97ndVUbZ+/Xrs27cPp06dwsyZMwEADz30EG6//Xbcf//9qK+vPyPnThAEQUwcTJRNikhZjXwOAxQpIwiCOOuZEqLMiJGRETQ3N6v/3rRpE1auXKkKMgC44YYbkMlksG3bNlx77bXjxshkMshktIdlPB4HAORyOeRyOdfnxt7rZQyiMqBrPbWg6z356VMaRzdVBc/4PN5QJVvi9ycy9J2ZxNB9PbWg6z114HGtnbx3SoqyI0eO4Nvf/jYeeugh9Wfd3d2YPn160euampoQiUTQ3d1tOM7XvvY13HfffeN+vn79elRXV3s+zw0bNngeg6gM6FpPLeh6T166hoMABOx7azMG9nsfz8u1PjEKACGc7h/Bs88+6/1kCF+h+3pqQdd76uDlWqdSKduvrWhRdu+99xqKIj1bt27FRRddpP67s7MTN954Iz7wgQ/gk5/8ZNFrBWF8o1BJkgx/DgBf+MIXcM8996j/jsfjmDNnDtatW+cp3TGXy2HDhg1Yu3YtwuGw63GIyQ9d66kFXe/JTTpXQHrTCwCAP795Leqr3F8jHte6Y3gMD+/eiGQhgJtuWlf2WUScWei+nlrQ9Z468LjWLIvODhUtyj7zmc/ggx/8oOlr5s+fr/53Z2cnrr32Wlx++eX4wQ9+UPS69vZ2bNmypehnQ0NDyOVy4yJojGg0imh0fN1BOBzmcqPyGoeY/NC1nlrQ9Z6cdCfkNJNIMIDmuiouIsjLtW5vlA2ScwUJYwUBDR5EIuE/dF9PLeh6Tx28XGsn76toUdba2orW1lZbr+3o6MC1116LNWvW4Mc//jECgeJuAJdffjnuv/9+dHV1YcaMGQDkNMRoNIo1a9ZwP3eCIAhicqE2jq6LToqoVCwcRG00hNFMHgOjGRJlBEEQZzFTok9ZZ2cnrrnmGsyZMwcPPvgg+vr60N3dXVQrtm7dOqxYsQIf/ehHsX37drzwwgv43Oc+hzvuuIOcFwmCIKYAmh1+5AyfiUaLci4DSbLFJwiCOJup6EiZXdavX4/Dhw/j8OHDmD17dtHvJEkCAASDQTzzzDO48847ccUVV6Cqqgof+tCHVMt8giAI4uxmKCULn+aaySPKWmujODGQQn+CbPEJgiDOZqaEKLv99ttx++23W75u7ty5ePrpp/0/IYIgCGLSMZiUa8qaJpEoa1HOpZ8iZQRBEGc1UyJ9kSAIgiCsGFYiZU3Vk0iU1SoNpEcpUkYQBHE2Q6KMIAiCIKClLzZVTx5DDVbfNjBKkTKCIIizGRJlBEEQBIHJmb7YqETthsdyZ/hMCIIgCD8hUUYQBEEQmJzpi42KDT47N4IgCOLshEQZQRAEQUCfvjh5RFlTDRNlFCkjCII4myFRRhAEQRAAhlIsfXHy1JQ1VMkCcYgiZQRBEGc1JMoIgiCIKY8oSpMyfZGZjoxQpIwgCOKshkQZQRAEMeVJpPMQJfm/GyeR+yIz+khk8sgVxDN8NgRBEIRfkCgjCIIgpjyDSpSsJhJENBQ8w2ej0VClCcQRcmAkCII4ayFRRhAEQUx5VJOPSWSHDwDBgID6WAgAOTASBEGczZAoIwiCIKY8k7GejMGE4hDVlREEQZy1kCgjCIIgpjyscfRkqidjaL3KSJQRBEGcrZAoIwiCIKY8kzlSxsw+yBafIAji7IVEGUEQBDHliY9N4kgZ2eITBEGc9ZAoIwiCIKY88XQeAFCnmGpMJpooUkYQBHHWQ6KMIAiCmPKwSFl9bPJFypgtPhl9EARBnL1Mvi1BgiAIgnDIqcEUvvjUHhzsTuB9F87C/1q3FIGAYPv9WqRs8omyekWUJdLORFmuIOLrf3wb/7OzEytm1OM//nw1ptfH/DhFgiAIwiMUKSMIgiAqmrFsAR979A28crAP3fE0vvvSEfzfFw87GiOuCJ76qsm3V8lSKhOKcLTLg88dwCMbj6EnnsGLB/pw+4+3IpMv+HGKBEEQhEdIlBEEQRAVzaOvHcPR/iTa62P4h+sWAwD+74uH0ZfI2B4jMZkjZaoosx8pOz2Uwo9ePQYA+Ny6c9BcE8H+rjh+vvmkL+dIEARBeINEGUEQBFGxZPOiKj7++aaluGftOThvTiOyeRGPb7UvQLSasskYKWPpi/YjZY9tOoG8KOGKxS34zHVL8E/rzgEA/OCVo8gXRF/OkyAIgnAPiTKCIAiiYvnT270YTGYxvT6K95w3C4Ig4K8vmwcA+O32DtvjsCjUZIyUOU1flCQJT+/qAgB85FL5s3j/mtloqg6jO57G60cG/DlRgiAIwjUkygiCIIiK5bfbTwMA3nfBbAQVY4+1505HKCDgSF8Sx/uTlmOIooRERhY8k7OmzJnRx+6OEXQMj6E6EsS1y9oAANFQELesngEAeGqHfbFKEARBTAwkygiCIIiKJFcQ8eqhfgDALatmqD+vj4VxyYJmAMBLB3otx0lm85Ak7b2TDRYpS2YLKIiS5es3KZGwdyxqRSwcVH9+y6qZAICXDvRBtDEOQRAEMXGQKCMIgiAqkrdODCGZLaClJoJzZ9YX/e7yhS0AgG0nhy3HYXb4kWAA0dDkeyzqG1qP2khh3Hp8EABwqSJMGWvmNaEmEsRgMot9XXG+J0kQBEF4YvI9fQiCIAjCBq8c6gMAXLmkdVxPsjXzmgDIws0KrZ4sBEGw39tsooiGgogoYjFukcIoihK2Hpf/5otLRFkkFMDli2SxulGJMBIEQRCTAxJlBEEQREWy9ZgsPq5Y3Drud+fNaURAADqGx9ATT5uOEx9j9WSTL3WRUW/T7OPYQBIjYznEwoFx0UNA+6xYNI0gCIKYHJAoIwiCICqOfEHE7o4RAMCFcxvH/b4mGsLitloAsEzVY3b4dZPQDp9h1+zj7a4EAGBpez3CwfGP+AvmyhHEHaeGIUlUV0YQBDFZIFFGEARBVByH+0YxliugNhrCwtZaw9ecM70OAHCgO2E6ViLDepRN3kiZXVv8A92yAF2m/O2lLJ9Rh3BQwGAyi1ODY3xPkiAIgnANiTKCIAii4th5ahgAsHp2w7h6MsZSRZgctBBlLH1xckfKFFGWsYiUKX/rOe3GoiwaCmLFDDmtccfpYX4nSBAEQXiCRBlBEARRcew4Jacurp7dWPY1TJgc6LGIlKUrIFIWZemLFpEy5W9dVkaUAcD5cxoBaMKWIAiCOPOQKCMIgiAqDlYntmpWQ9nXsPTFI32jpvVTo5kCALkObbJiJ30xky/g5GAKALBkunFKJwAsVyJlBy3EKkEQBDFxkCgjCIIgKgpJknC4hxlalBcfsxqrEBCAdE5EXyJT9nXJjCx0aqPBsq850zCjDzNL/I6hMUgSUBUOYlpttOzrWASRRBlBEMTkgUQZQRAEUVF0jqSRzBYQCgiY11JT9nWRUAAzGqoAQI0gGZHMyqKsehJHymqVSFlKieoZwf7Guc3Vpv3WliiulD3xDIZTWY5nSRAEQbiFRBlBEARRURxSIjwLWmsMbd/1zGupBgCcGCgvypjQqYlM3kgZOzcmII04pYiyOc3VpmPVxcKY1SiL1YM9o5zOkCAIgvACiTKCIAiiojjcKwsJs7opxlxFoNiKlEUmb6SMRfHMImWnhmSL+7kWogwAzlE+O0phJAiCmByQKCMIgiAqCiYklrSVdxhkzLEhylJZZvQxeSNl1WHrSNnJAZa+WGU53hLFBIUJXIIgCOLMQqKMIAiCqCiO9CUBAIvbrCNls5tkgdI5XL5RMjP6mMyRMiYYmYA04qTN9EVAS+s0E6sEQRDExEGijCAIgqgomJBgwsKM6fUxAECvifuiFimbvKKMCUYmII3oiacBQDU3MWNes2yQcmIgyeHsCIIgCK+QKCMIgiAqhrFsQbW3t1M71a6Isu6RdNleZSklJXAypy9aRcpyBREDSdlJsa2+vB0+gwnaU4NjKIjle7gRBEEQEwOJMoIgCKJiOD0kR8nqYiE0VIUtX88iZWO5AuJlGi8nVffFyR8pKyfKmFANBQQ0V0csx5vZWIVwUEC2IKJbibARBEEQZw4SZQRBEETFoNZNNZn34mJURYKoV3p89RqIj4IoYSwnC53qSW2Jz0SZsbBk6ZnT6qIIBKw/l2BAwJwm1i6AUhgJgiDONCTKCIIgiIpB3yDZLu0NSgqjgShjggyY5DVluvRF0SDdkNWTtSmRQTvMtdHDjSAIgpgYSJQRBEEQFcOpQaUXlw2TD8Z0XV1ZKSnFOCMgANHQ5H0k6lMr9UKSwSJlbXXW9WQMFinrGCrvTEkQBEFMDJP3CUQQBEEQJWjpi9YOg4y2OlmU9Y2Od2BMZrV6MjvpkGeKWDgAdnpGvcpYauZ0GyYfjBmN8ufSOUKijCAI4kxDoowgCIKoGJjRx2wH6YsttbLxxeBodtzv1B5lk9h5EQAEQdDqyjIGkbI4i5TZT1+cqVjndw2T0QdBEMSZhkQZQRAEUTFovbjsi4/mGkWUpcaLslR28jsvMpgRiVGkjEUBpzlIX2SfYRdFygiCIM44JMoIgiCIiiCdK2AolQOg9R+zA7OIH0waRMqylREpAzQjEiNb/CFFcDbZsMNnzGyUI2WdJj3cCIIgiImBRBlBEARREbAUvWgoYKtHGUONlBmIMpYKWF1JkbLM+EjZsCJWm6rtfy7T62MQBCCb1xpPEwRBEGcGEmUEQRBERcAs7dsbYo5MOZprrSNlNZO4RxmjxqSBtBopq7EfKYuEAmitldMdqa6MIAjizEKijCAIgvCVRDqHL/xmN9797Y34fy8eNuyzZYdu1WHQfuoiYJ6+mFKNPiZ/pKyqTKSsIEoYGZMjZY0OImUAMLPBmwNjQZTw8IaDuOVbG/Gl3+0p29yaIAiCMMfzU2hgYAAtLS0AgFOnTuGRRx7B2NgY3vOe9+Cqq67yfIIEQRBE5SKKEu78+VvYeKgfALCnI45sXsRn157jeKwepc+Yk3oyQIuUpbIFpHMFxMJaVCyl9PyqDk/+SBlLXyztUxYfy4GVhDVW2Y+UAcCMhirsPD1i2MPNDv/xh/14ZOMxAMDezji6RtL4/kfXTOr2AgRBEJMR15Gy3bt3Y/78+Whra8OyZcuwY8cOXHzxxfjGN76BH/zgB7j22mvx1FNPcTxVgiAIotJ4ZncXNh7qR1U4iNvfMR8A8P9ePKxa2ztBn77ohLpoCOGgLBJKo2VpJRUwVgGijJ1jukSUsdTF2mgIEYcNsJlbY79BDzcrDvUk8KNXZUH2iSsXIBIMYP2+Hrx0oM/xWARBEFMd16Ls85//PFatWoWXX34Z11xzDd797nfj5ptvxsjICIaGhvCpT30K//Ef/8HzXAmCIIgK47svHQEAfPrqRfjSrStw+cIW5EUJ/7XphOOx3KYvCoKguhKOE2V5EYDcnHmyw84xnROLfs4cKZ2mLgLeRNljm09AlIDrl0/Hv717BW6/Yj4A4DsvHXY8FkEQxFTH9VNo69atuP/++3HllVfiwQcfRGdnJ+68804EAgEEAgH8wz/8A95++22e50oQBEFUEHs6RrCvK45IMICPvWMeBEHA31y5AADw1PYOx7VlbtMXAahujfF0rujnLOpUCZGyaMg4Ujbswg6fwYw++hLORFkmX8Bv3+oAADUC+jdXLEBAALYeH8Lx/qTjcyEIgpjKuBZlg4ODaG9vBwDU1taipqYGzc3N6u+bmpqQSCS8nyFBEARRkfx+ZycAYO2K6WhUBMPV50xDXTSE3kQG208NORqvVxEObfX2GyQz6mJyCXV8rNiIopJEmZa+yD9S5lSUvXl8CIlMHtPqonjHIrmuvL0hhquWTAMA/I9y7QmCIAh7eMrXKC3kpcJegiAIgsFqi25Y2a7+LBIK4NplbUW/twtLPWxxYPvOqC8bKZMFTtRhLdaZQE1fzPOMlMnv6R911qfspQO9AGSRHQhoz/4blWvNfk8QBEHYw5P74u23345oVN5lS6fT+PSnP42amhoAQCbjPD+dIAiCODvoGhnDgZ4EBAG4anFr0e8uX9SC/9nZiS3HBm2Pl84VMKpYwbfUOo+U1cdkUZZInw2RslJR5rxxNEMfKZMkyfbm6isHZTfNa5ZOK/o5+/eOU8MYSmYd9U0jCIKYyrgWZX/9139dNHl/5CMfMXwNQRAEMfV47fAAAGD17MZxC/NLF8ip7jtODY+zqC8Hi5KFgwLqY84fXVr6YkmkTDH6qKoAUcbOMVOSvphQon8sGugEVlOWLYiIj+XRYEPYjWbyONgrlydcuqCl6HczGqqwpK0Wh3pH8cbxQdxwbrvREARBEEQJrkXZT37yE46nQRAEQZxNbD8p14sxAaZnQWsNWmsj6B/NYm9nHGvmNVmON6Ck1zXXRFylypdPX6ykSBlzXyyOlCWUCGKtiwbYsXAQdbEQEuk8+kYztkTZ7tMjkCRgVmOVGmnTc9H8JhzqHcVbJ4dIlBEEQdjElSi75557bL/24YcfdnMIgiAIooLZfnIYAHD+nMZxvxMEAStnNeClA33Y12VTlCXllPjmGuepi0D59MWMKsoqoaZMSV8sqSkbVf6mWhcRRACYVhuVRVkig8VttZav33l6GACwenaD4e8vmNuEX75xCttPDLs6H4IgiKmIqxl8+/btRf/etm0bCoUCli5dCgA4ePAggsEg1qxZ4/0MCYIgiIpiLFvAgR45vc1IlAHAihn1sijrjNsa04vJB1A+fXGsgiJlzBJ/LFsiyjxEygCgtS6Ko/1J273Kdp8eAQCcV+baMpG98/QwsnnRcUNrgiCIqYirGfzFF19U//vhhx9GXV0dfvrTn6KpSZ6Ih4aG8PGPfxxXXXUVn7MkCIIgKoY9nSMoiBLa6qKY0WDcU2zFzHoAwL4ue6KMpS+21LoTZVbui5URKTNuHs1EWZ3LSFmz4to4lLLnwMgE9/IZ9Ya/X9hag7poCIlMHkf7R7Gs3fh1BEEQhIbnp9BDDz2Er33ta6ogA+QeZV/5ylfw0EMPeR2eO5lMBueffz4EQcCOHTuKfnfy5EnceuutqKmpQWtrK+666y5ks85sggmCIKY6+xWhtWpWQ9n6rxXKgv5Ad9xWE+mBpFZT5gYmWMq5L7Io1GTGKn2xJuJOlDXVyIJ1KJmzeCWQK4g4MSA3hi6X6igIApa21wEADnRTv1KCIAg7eBZl8XgcPT09437e29s7KZtHf/7zn8fMmTPH/bxQKOCWW25BMpnEq6++il/96lf49a9/jX/6p386A2dJEARRuRzqGQUALJleV/Y1c5urEQoISOdEdMfTlmMOKKl1rS7s8AGtpqyyjT6M3RfV9EWXkbJGB5GyU4Mp5AoSqsJBzKg3joICUEXZ2yTKCIIgbOFZlL3vfe/Dxz/+cTz55JM4ffo0Tp8+jSeffBKf+MQncNttt/E4R2784Q9/wPr16/Hggw+O+9369euxb98+/OxnP8MFF1yA66+/Hg899BAeeeQRxOP20msIgiAI4KCS3nbO9PKmEaFgAHObqwEAx/uTlmMOeoyUNVSxmrKSSFm+EtMXjWvK6qLOLfEBrb/ZsA1RdqRPvlYLp9UUNY0uZZkaCSVRRhAEYQfPT6Hvfe97uOWWW/CRj3wE8+bNw7x58/DhD38YN910E77zne/wOEcu9PT04I477sBjjz2G6urqcb/ftGkTVq5cWRRFu+GGG5DJZLBt27aJPFWCIIiK5lCvHCk7xyRSBgDzW2sAAEdtiLJ+j0YfNYoJRjKThyTJ6ZKiKCFbgX3K9KKsIEpIKcYfriNlVfJnOjxmnb54pE++tlYujctYpMxmzSBBEMRUx3WfMkZ1dTW+853v4IEHHsCRI0cgSRIWL16MmpoaHufHBUmScPvtt+PTn/40LrroIhw/fnzca7q7uzF9+vSinzU1NSESiaC7u9tw3Ewmg0xGc6tiEbVcLodczvrhVg72Xi9jEJUBXeupxVS43gPJLAaTWQgCMLcxavq3zm2S09+O9iYsP5NBJX2xIRZ09flFBFmI5UUJyXQW0VCgyMUwCJHrdfHjWgchC8h0XjtXvZtkJCC5Ol5dVN6fHUxmLN9/qEd+zs1vrjJ97cJm+dp2jqQxNDrm2hmyEpgK9zWhQdd76sDjWjt5L7dZsqamBqtXr+Y1nC3uvfde3Hfffaav2bp1K15//XXE43F84QtfMH2tUUG6JEllC9W/9rWvGR5//fr1htE4p2zYsMHzGERlQNd6anE2X+9DIwKAIJojEl58/jnT1ya75de+sf8YnpWOmL62Px4EIGDn1tfRvcf5eRVEgD3y/ueZP6ImDMi+FvLPXnx+PUyy8VzD81qn8gAQQkGU8Punn0UwAAxm5J+FBAkvrP+jq3GPxOUxOvtG8Oyzz5q+dufhAIAABk8exLPPHjB9bW0oiNG8gF/8z3rMnjz7tL5xNt/XxHjoek8dvFzrVCpl+7UVvXX1mc98Bh/84AdNXzN//nx85StfwebNmxGNFheIX3TRRfjwhz+Mn/70p2hvb8eWLVuKfj80NIRcLjcugsb4whe+UNRIOx6PY86cOVi3bh3q691bAOdyOWzYsAFr165FOOyuRoCoDOhaTy2mwvX+5dZTwL79WDVvGm6++ULT19YfHsATx7YhHarDzTdfUfZ1oijh7s3yQ/HWG97l2uzjn9/cgFxBwpXXXIcZDTF0jaSBN19BOCjg3bfc7GrMcvhxrTO5Ar6w9QUAwDXXr0NdLCTX7721CXVVEdx887Wuxj3cO4pv7X0dWSGMm2++wfS1D769EcAYbrnmMsum3z85vQXbT41gzvILcdPKdlfnVglMhfua0KDrPXXgca2d+FJUtChrbW1Fa2ur5eu+9a1v4Stf+Yr6787OTtxwww14/PHHcemllwIALr/8ctx///3o6urCjBkzAMgRr2g0WrYJdjQaHSf0ACAcDnO5UXmNQ0x+6FpPLc7m6905Itd+zW+ttfwb57TIdUnd8Yzpa0dSOShlYGiuq0LYpX19dSSEkbEcsqJ8DQqQzzUWCvp2PXhe61AoBEEAJAkoIIBwOIy0koFZF3N/nGkNcmZHPJ2HEAgiFDQuNxdFSXXKnNtaZ3m8Ba212H5qBKeGza/v2cLZfF8T46HrPXXwcq2dvK+iRZld5s6dW/Tv2lp5IbBo0SLMnj0bALBu3TqsWLECH/3oR/HAAw9gcHAQn/vc53DHHXd4inoRBEFMdt44NogfvHIE9bEw7ll3DmY3uU+/PjUop2rMabYeY2ajXHc0mskjns6ptvWlMBv7WDjgqZ9YTSSIkbGcaozBasqiFWDyAcgp9tFQAOmcqJp9sL5rNR5qthqrtM99ZCyHljKRyL7RDHIFCcGAgLY662jlvBY5Z5H1NXPLiYEkHt5wEKlsAX93zSJcONc8QkcQBFGJTAlRZodgMIhnnnkGd955J6644gpUVVXhQx/6kKF9PkEQxNnCWyeH8OEfbkauIIeithwbxB/uvqqsQLLi1JAiypqqLF9bHQmhsTqM4VQOXcNp1LcbH3NEMbNoqPK2K10VkcVXMiMLmkye9Sib/Hb4jFg4iHROVM+dibOaiHthGQoGUBcLIZHOYyhVXpR1DI8BANrrY2WjaXrmtyotDwbs11SU0j+awQe+twm9Cdno5ZWDfXjq76/A8hm0WUoQxNlF5TyJODJ//nxIkoTzzz+/6Odz587F008/jVQqhYGBAXz72982TE8kCII4GxBFCf/62z3IFSRcvrAFs5uq0DE8hm89f8j1mCcdRMoAYEaDLN46lQW/EbxEGYsmjeXk6BKzw4+EKudRGFHEUEY59zFFlFV5EGUA0KQ0kDbrVdYxJF+jWY3WghvQImV2+tCV4+ENB9GbyGBhaw0umteETF7Evz61R21rQBAEcbbAJVL2wgsv4IUXXkBvby9EUSz63aOPPsrjEARBEARnXj7Yh31dcdRFQ/jOhy/EjlPD+PhPtuKXb5zEXdcvcRwti6dzGE7JAsquKJvZEMP+rjg6R6xFmdvoHYP1+WKRMhYdjNiI+kwWwsq5snMfy7Lm115FWRgnB6FePyOYcGZpp1aw5uC9iQwy+YLj1NO+RAZPvHkKAPC121ZhfmsNrvr6i9h2YghvHBvEpQtbHI1HEAQxmfH8JLrvvvuwbt06vPDCC+jv78fQ0FDR/wiCIIjJyZNvnQYA/Pma2WiqieCapdOwaFoNktkCnttj3J/RDFZP1lwTsd2XaoaywO8aTpd9TZx3pEypJcsW5P+vpEhZVDnXbGmkzKMoq1MEbyJjR5TZi5Q1VYfV8+0eKX99y/GHPV3IFSSsnt2ASxe2YHp9DLddMAsA8OS2047HIwiCmMx4jpR973vfw09+8hN89KMf5XE+BEEQxASQSOewYV8PAOD9a2TDI0EQcOt5M/HN5w/hub09+MBFcxyNeWpQXrTbqSdjqOmLNiJl3GrKsix9UY42hSsyUqY0kuYmyuTlADMOMYLVdbU32IuUCYKAmY1VONafROdwWk1ntMvTO7sAAO85b6b6s/deMAu/2noKf9zbja+8b6Un4xeCIIjJhOcnUTabxTve8Q4e50IQBEFMEJuODCCbFzG/pRrnztRME244V+4ntfFQn7rgtwuLpDhxb2Qufv2j5WuZ1PRFr5EyRZSl1EiZUlNWQaIsUhopy/KpKbMjyvoUUeakT9wMRcB1mYhuIxLpHLadlLNt2HcSAC6Z34xpdVEk0nm8eZyycQiCOHvw/CT65Cc/iV/84hc8zoUgCIKYIF493A8AuGrJNAiCoP58WXsdptVFkcmL2Hlq2NGYPQk5RW16vb1ICgC0MlGmLPiNYJb4XiNl1ZHi9MWcImzCFZS+GA7K14oJSpa+6LWmjKUvss/aiP5RN6JMjoR2OUxffPPEEAqihLnN1UX1iYGAgCsXy/1JX1O+wwRBEGcDntMX0+k0fvCDH+D555/H6tWrxzVJe/jhh70egiAIguAME2VXLmkt+rkgCLhkfjOe2d2FrcedmSn0jDBRZn/R3lojv3YgWV6UjYzJ0RuvkbJx6YtnQ6RsAtMXWTSztTZie1xmCmLmrmnE5qMDAIDLFjaP+907FrXgt9s78NqRAUdjEgRBTGY8i7Jdu3ap1vJ79uzxOhxBEAThM4PJLI72yTblly0YL7ount+EZ3Z34Q2H6WE9cVlYOYuUyQv8gdEsJEkqitoxuFnis/RF1X2RWeKPP+ZkhdWUMVGWVtMXvQlL1eijjChL5woYzci/a7XROJrhOlKmfPcuNfh+XqFEynafHkYyk/fUOJsgCGKy4Hkme/HFF3mcB0EQBDFB7Do9DABY2FqDhurxQuf8uU0AgL0dI2WFkhFu0heba2RRlhcljIzl0Fg9PgrDS5SxFD/WeFntU1ZBkTLmZpgrcI6URVmkzDh9kdWTRUIB9bV2mOEiUiaKEvZ3xQEAq2c3jPv9zMYqTK+Poieewb6uOC6ePz6aRhAEUWm4EmX33HMPvvzlL6Ompgb33HNP2dcJgoCHHnrI9ckRBEEQ/Nl1egQAsMpgwQsAS6fXISAAA8ks+hIZtNkUWW7SF6OhIOpjIcTTefSPZg1FGRMKLMXOLVFFuKRzsqBh6YuV6L7Iv6bMPH2xT6knm1YbtS3SAc3ooztuP1J2fCCJVLaAWDiAhdNqDV+zalYjeuI92HV6hEQZQRBnBa6ecNu3b0cul1P/uxxOJm6CIAhiYmCibPXsRsPfV0WCmN9ag6N9SezritsSZaOZPJJKKp2TSBkgG0fIoiyDxW3jF+FJJW3Obu+zcrAo07hIWQUZfZRzX2QmJm7R0heNI2X9qvOi/XoyQBZxgNyUOlcQbQngfUqUbGl7PYIB43XE6tkNeH5/D3YrUV+CIIhKx9Usrk9ZpPRFgiCIymJPBxNlxpEyAFg+ox5H+5LY35XANUvbLMfsUSIhddGQ4xqf1toojvYnMVDGFj+p1IB5rR3SRJksaLSasgoSZSWRMrVPmeeaMvNImWbyYT8KCgBN1REEAwIKooSB0aytHmf7OmVRtmJGfdnXsCjvbuW7TBAEUelUzpOIIAiC8Ew8nVNTyZa215V9HVsQH+iO2xqXibI2B6mLjBYl+sIs1/VIkqS6JdZEvaXoxdT0xcqtKWP2/Tml8fVEpS8OKu6YLQ4jZYGAgJaa8tfXiMO9owCApdONUxcBuXUDABwfSKnXkSAIopKpnCcRQRDEFGVPxwgeeeWoGuHywhFlwdtWF0V9rLxxxsLWGgDyotcOTJQ5TV0EtIX+gMGiPZUtQJL1B8f0RRYpkweuzEiZLMb4WeLL34XRTB4FURr3++GUnNbYZFDzZwWLrvXZFGXHB2Rn0PnKd9CI9voYaqMhFERJfb0Xdp0exg83HlWjdARBEBMN+cgSBEFMYn63owN3P74DkgQEBOD/fuhC3LxqhuvxWBTCqHZLz7wWJsrsLXiZO1+bA7t0RmOVvNBnLot6WD1ZQPAuPKIh5r4oFv1/JRl9jK8pk/+f9WBzi95EJZnNjxPs7Nq46RXXWhcFuswbhDNEUcIJZSNggYkoEwQBi9pqsfPUMA73juKc6eWjvlY8ue00/teTOyFJQDAg4DsfvhA3nNvuejyCIAg3VM6TiCAIYorRm0jjX369G5IEzGyIQZSAf/n1LsOIkl0O99kTZfNbqwHIEZLhlHGtl56BpPyaFoc1RwDQqNjyG4oyxciiJhLybB4VC8uPvHHpixUYKWNRPva3xELeUzvZ2EYpjMPKtWk0aKFgBTMHsRMp64qnkcmLCAUEzGqsMn3tYsWZkW00uKE3nsa/PqXdYwVRwuef3IWhpPV3niAIgieV8yQiCIKYYnz/5aMYyxVw3pxGvPS/rsXyGfWIp/P42eaTrsc80itHvqxEWXUkpEa97KQwDipGEKzvmBNY9GXYJFLGo0FwaaQsV8GW+Fq0TxZl0bD3v6FWiZaNGogyL73ipinfo/6EtdA53i9/P+c2VyNkcV3Yd9iLKPv+K0eRzom4cK58jy1rr8PIWA4/3XTc9ZgEQRBuqJwnEUEQxBQimxfx67dOAwD+8V2LEQkF8HfXLAIA/OKNExAN6n7scESJlC0q0/9JD6vpOWEjhXEo5V6UsYW+UaRsNMPH5APQhEumkiNluubRoihpdXEchCVLD01lDUSZUlPGUk2dwGzx7Rh9HOu3ridjMFHGvtNOyRVE/Ea5x/7huiWIhAK489rFAIBfvnHS9T1GEAThhsp5EhEEQUwhXjrQi+FUDm11UVx9jmxJf8O501EbDaEnnsEOF/2Z8gURJwflqNfCadaL3vktcgrj8X7rSBlLX3RjBNHIRFnK30iZ6r5YaokfrJyemmHlXLN5UbXFB/gISyZ8U0rKqJ7hMfn6uktftC/K2PdznvLdM4O95tSgPTOaUl493I+hVA6ttRFctaQVgHyP1cXke2zr8UFX4xIEQbjB1VNuwYIFrnL77777btx1111uDkkQBDGl+NPbvQCAm1fNUBvoRkNBXLesDf+zsxPP7enGhXObHI3ZHU+jIEoIBwVMr7N2SZyp1PR0jYxZvnZQrSlzESkzqSlTI2UemyMDmvtiNi9CkiRV1FRSpEz/N/AWZawBtZEo85K+6ESUdQ7L3zWrejIAmN0kvyaezmNkLOf43F5U7rEbV7arqZLRUBA3nNuOJ7edxh/2dOPShS2OxiQIgnCLq6fcT37yE1cHmz9/vqv3EQRBTCUkScLGQ/0AgKuXTiv63buWy6Js09EBx+N2DMkL3pmNVQgErDfWZjYwUZa2fC0TZV7TFyVJKtr049U4GtAEDSDXZGUr0H0xHNTSF/X9uXikL1ZHjNMX07kC0jn5WA0uImXsOzGYHC+6S+lWvmszGqxFWXUkhJaaCAaSWZwaTKFhVvlm6Ea8fkS+h65cXHyPXbesDU9uO41NR5zfYwRBEG5x9ZS7+uqreZ8HQRAEoXC0P4mO4TFEggFcuqC56HeXKP/e0zGC0UzeUe+u04ooYxEGK2Y0ytE0q0hZNi+qjn3NLtIXmSjLixKS2ULR38TSF2s51JTpGyxnclqkqZKaR6uW+AW9qBQ8O1MC5SNlcSVKFhCAWhcRy6YaJrqz40R3KWwDgH33rJjdXI2BZBanh1JY6UCU9SbSONw7CkEALltYfI9dpkTHDvQk0JfIqEYlBEEQfsLlSZTL5XDq1CkcOHAAg4OUg00QBOGFN5ValvPnNqoLZcaMhirMba6GKGmvs4sqyhqt63XkYymibNg8UsYs8wOCu/S2Kp0de2kK4yjHmrJQQAALEGbyBc19sYLSF1mkLKuL9PESlSxSxoQwY1iXumgnwloKMwfJFSS1xYERBVFSm5Cz754Vc5QNBvbdtsvWY0MAgBUz6tFYspHQXBPB8hn1AIDNLiLSBEEQbnA9k4+OjuL73/8+rrnmGjQ0NGD+/PlYvnw5pk2bhnnz5uGOO+7A1q1beZ4rQRDElGDn6REAwAVzGg1/v2aeXEu2p2PE0bgdw7IhwiybkbJ2JYUskckjkS6feqY3+XCzaBcEQbPFL+mJpkXKvIsyQRDUaJk+fTFaqZEyzjVxzOhjrEQ4jag9ypxHQQG5Pxw7R7P+XwOjGeRFCQFBc2y0Yk6zO7OPPZ3yvXNemXvs4vnyPbbz1LCjcQmCINziaib/xje+gfnz5+ORRx7Bddddh9/85jfYsWMHDh48iE2bNuFLX/oS8vk81q5dixtvvBGHDh3ifd4EQRBnLbsUZ8XVsxsNf79C2cXf1xV3NK7T9MXaaAh1Su+qbpO6Mi/1ZIyGKvk4pZGyZJZfpAzQ6srSuYJmJ19BkTK9JT5vS/+qsPwZl0azhhVXzHoXUVBAFsNNJmYuDJa62FYXs+xRxmDf5VMOI2X7OuV7h91LpbBUyN0ONz4IgiDc4uop9/rrr+PFF1/EqlWrDH9/ySWX4G/+5m/wve99Dz/60Y/w8ssvY8mSJZ5OlCAIYjIynMriuy8fwcBoFn99+byyQsou6VwBb3clAACrZxvXyKyYqYiyTneizI6zHWNmQxUOpBPoHEljyfQ6w9fwEGW1MXnRXtq4eJSj0QfAGkjniiJldgXAZCAcGO++yD9SVnoNZCFV5+EaNFZF0BPPqP3sjGCirN1m6iKgdwi1NqPRs1e5d86daSzKVimibG9nHKIouYoA63nr5BB+tvkE2utj+LtrFqEu5k7gEgRx9uJqhn3iiSdsvS4ajeLOO+90cwiCIIhJz1i2gL96ZAv2KxGr3+/sxK//7h2ODAdKOdCdQF6U0FwTKRvRYvUuxwdSts0+RFFSDTvspi8CwPSGGA70JNAbL7/oHVbT29wvNJmRR7JEEDCBwOqdvBIOyYvrXEFEQWkOHPK44J5IQkqfsrwo+VBTZhwp04Sx+2vAvhvDBr3oGN0jzB3Uvihrr5dfa/b9LKU3nkb/aAYBAVjWbizKlrTVIhoKYDSTx7GBpK1m6+V48/gg/uqRzWpk9vUjA3ji05dXlOsnQRD+QzMCQRCES3648Sj2d8XRUhPB+XMakcmL+MJvdkOSJNdjHuyRo2TL2uvKutQ110TUxeiBbnvRssFUVl0UttnoUcZoVaJfAya1QHEPPawYrA8ZEwCMsZz876owJ1EWYOl/EvIii5RVjihjzaMLelEW4vPZlLPE59HAWxNl5b9HvQm5j5mT7+d05T4YSGaLWgSYsb9bvscWtNagqozYDwUDWKZsfrDItRtEUcIXfrMbuYKENfOaUB8LYcepYfz09eOuxyQI4uzEsSh788038aEPfQhr1qzBpZdeis9//vPo7u4mm3yCIKYU6VwBj2w8CgD437euwA8/dhGqwkHs7hjx1N/ocN8oAGBxm/nO/KK2GgDAsX57Bge9cXnB21wTcZTu1qrYgfcnyjf+jSsmIPUeUrJqldq1Uuc/1h8rxkuU6fp85SswUhZURGW+IHGvKdNEWbEw5mG20qSYhJhFygZGZcHW6qABeVN1WBWqfTaaUwPAMeUes4p+LVZ+f0R5vRs27O/Bod5R1EVDePT2i/GFm5cDAB7ZeNS2iCQIYmrgaCb/5S9/iTvvvBO33347nn76aTz22GNob2/H1VdfjQMHDvh1jgRBEJOO5/Z2I57OY1ZjFW5dPROttVG8f81sAMDjb55yPe7hHnkBuMRClC1oZaLM3oKxN8FMFJz1XGqxFSmTF+1ujSAAbcFfKsqYE2AszEd4sPTFbEFEocBEWeUkjTABmRe1mjJe7pFqn7JMafqi90gZazo9ZCbKkmzjwP53VBAENbLWYzOF8fiAvJHB7qFysI0PL6Ls19tOAwA+dNlcNFSF8ecXzsa0uih64hlsPNTnelyCIM4+HM3k999/P5577jmsW7cOM2bMwDnnnIN77rkH//M//4NZs2b5dY4EQRCTjt/t6AQA/PmFs1QTgPdeMBMA8Kf9va53wVmkbJGFKJvfwkRZ0ta4LDXMaSPcVsWavN8kCqFFytwv2tmCf7Q0UpbnnL4Y1CJNOSV9MVhBkTK1psyPSJlSM5bKGacv8omUlRf3/UqkrMVBpAwAptfL31G7dWXsnplvIcq8RsoS6RxeOigLr/ddIK+RIqEAblk1A4Bcg0oQBMFwNJMXCgU0NTWN+/nSpUvx85//nNtJEQRBTGYy+QJeP9IPALhJWWABwAVzmtBWF0Uik3fVdDadK6j9lqzSFxdOc5a+2OeiXgfQFshswWwEqynzI1KWViJl5Wp/nKJPX1SNPiqopoxF9YqMPniJMkX4lkbKkszow8M1aGR96Ews8ZmLp5P0RUCrKzNr26Dn+IAiylqsImWKKOtNQhSd14m+dngA2byIha01WKpzLn33annOeOHtXuQLlMJIEISMo5l81qxZeOmll8b9/OGHH8a5557L65wIgiAmNduODyGdEzGtLopl7dpiKxAQcNWSaQCALceci7LjA0mIkhxxsmqeyxaUx/uTtoxFVFFW7y5SNmAaKVPSFz3UlLEFf7KM0QevmrKIYU1ZBaYvFkRklAV9mJOoZNHKUgdMHumLzALetAm58h1rcZC+CGiirMek7pGRK4hqawir9MW5zdUIBQSM5QrocuDuyGAbM1csbi0y7blgbhPqYiEk0nnVmp8gCMLRDPv9738f73//+7F69WqsXr0a8XgczzzzDBYtWkR9yAiCmDK8eliOkl1VstgCgEsXNuPXb53GlqODjsc9NSgvFue11JR1XmTMaa5GQJBFS28ioy5My+G2poyJssFktmy/pgSHSFnZ9EXF6INX+iKLiqVzBTAtW0lGH4aW+JzcF5nwZZ85g0Uv6zykp7L3Jkr60DHGsgXVir/ZZaTMTk3ZqcEUCqKEqnBQTXssRzgYwNyWahztS+J4f9JRfz9AE2WXLmwu+nkwIOCyhS3YsK8Hrx3px3lzGh2NSxDE2Ymj7cEnn3wS27Ztw9KlSyGKIlpaWvDDH/4Qjz/+OD7+8Y/7dY4EQRCuEUUJO08N48SAvdorO7x1cgjA+MUWAFy6QP7ZztPDSOcK435vxukhORWxXH8yPeFgQF2Mdg6PWb6euS86TV9kDaHzoqTWjpWi1pRVuV+0G6UvSpKkRsqivIw+lEjZmM5hMFjp6YucjD6iShpk6feWR6Ss1kKUMZOPSDDguEk1q5PssxEpY1Gyuc3VlhsfADCnqRoA0DFkfY/pGUnlcEBpb3HpgpZxv798ofyzrcecb96U42jfKPZ0jHhqyUEQxJnD0cx35ZVXIhAI4M0338T+/fsRCoWwefNmrFq1CqtWrUJPTw+mT5/u17kSBEE4Ip0r4I7/ehMbD8mRrc9efw7+8XpvUX1RlLCnQ045MtrhnttcjeaaCAaTWRzqGcWq2fYbSbMF45zmaluvn9lYha6RNLpG0rjA4rW9LtMXI6EAGqrCGBnLoX80g8bq4iiGJEma+6KX9EWDSFlGZ5bCK1LGBExaN3YlRsoKPtSUsUhZJi9CkiRVtPAQZcwEpjQSyhjQmXzYEUt6mEPooIlDKIPVnc2w2aCaNVpnGyZ22ds1AkmSN1iMzHXOn9sIANjdES/6rN3y9T++je+8dAQA8K5lbfjuR9Zw+14QBDExOLpjr7jiCgDAb37zG+zfvx9btmzB3Xffjba2Njz//PO4+eab8W//9m++nChBEIRTHnzugCrIAOAbzx/Eq7p/u+Fo/yhGM3lUhYOqO5seQRCwQmk6u7dzxNHYzOTDTqQMAGY02I+UMfdEq1o1I5pM7Mwzec2a3ZPRh8GiXR+x4denTF786iNllVhTBmj1dlFuokwbRy+Iebgv1kbl78ZoJm8YyWGCyqnzIqBFc+2Iss4R+V5h944Vs1VR5ixStk+pFWNzQSkrZtQjGBDQP5pBt4t6NT3P7e1WBRkgG4j83xcPexqTIIiJx9NMXl1djUsuuQSf+MQn8M1vfhPbtm3Ds88+y+vcCIIgXNMbT+O/Np0AAPzwry/CX18+DwDw8AZvPRV3npKF1rkz6xEqkza2Yqa8ENvX5ayIny387IoyVuPSOWy+qEvnCmpDYKf1OgDQoETHRgxE2YhSTxYQvLnzGaUvMtERCghq2qFX1PTFnF6UVVKkTPsc0rrPhwdRXW1aJqcXZYr7oiejD/m9BVEq+uwZTFA1VbsXZQPJrGXqHouUtdfbu8dmK+mLTkXZ/i45dZHNBaXEwkGcozgy7jrtbPNGjyRJ+MaGgwCAT71zIb79V3LM/Icbj5q2HyAIYvLBfXtw8+bNvIckCIJwzM+2nES2IGLNvCa8a3kbPnPdYkSCAbx1chi7PSyC9ijRL7O0RLY7vs+hs5pWU2YvfdFupGxYEVOhgOC4XgcAGkzszPV2+F5SsFTnP537Im+TD0ATNSxSJggwNC+ZrOgFmCrKuAlWAWz4jNIfLquLhNZG3Iuy6khQHduorkyrS3QebWXRtWxeVM1CytHpMH1xtsv0RbYhUy5SBgCrZikR9Q7389GmowN4uzuB6kgQd16zGO9ePQPLZ9QjlS3gvz00sScIYuLxPJOPjIzgb//2b7F48WIsX74c/f3eUoMIgiB48OzuLgDARy6bC0EQ0FYXw9pz5ZrXZ5TfueFwr9xIVt93qJTlykLsQHfCdtH9yFhOtZa36/I2k0XKRsxFGYtCNFY7r9cBNFE2YiTK1MbR7lMXAW3Bny2Iaq0UE05RjqIswtIXFUETrqDURcBYlPGyxBcEYZwDY0pnj8+aS7sdm0VDjUQZ+241uBBl1ZGQmno5aNJPDwC6XaYvdsfTyNnsKZbNizjcK0fKlpuIMhYpO9Trrjk1oM1zt66eiYZqeWPkQ5fOBQA8vcv9PEcQxMTj+Wl05513Yvfu3fj617+OEydOYGxMnvDuvvtu/J//8388nyBBEIRTDvYkcLh3FJFgAO9arpkP3bSyHQDwhz3eRZlZc+d5LdUQBCCRyZs2XdbD3N2aayK208Rm2kxfHFLSmJpr3Akn1vh3xCAdSjX58OC8CACxiC4tT4nSMOFUFeEnnErTF4MVFCUDis+XCSeef4PqwFhyDcJB7ymkZr3KmChzK+6blbTHQYuUvS4WKbMpyqbVRhENBSBKQJfFfcY4PZRCriDb7pulIi/xKMpEUcJze3sAADetald/ftPKdgQEOS2S1akSBDH58fyk+8Mf/oDvfOc7uO222xAMartoN954Ix577DGvwxMEQTjm5QN9AIArFrcULfKuXdqGUEDAiYGUq8XKaCavLurMRFksHFSjXcf67Vnxsx5LdheLgOakOJjMoCCWj8gxUVbqnGgXs0hZgoMJBCC7IrIgHosAZZgo4xgpCzPRkeVbjzVRCIKgnjMTTrzq7QCdA2OuOFoZ49ALrc7EgZGJezeRMkCrlRxMlrfFH83k1Shde4O9aLQgCGhvYM2p7Ymy40r7DXlzpvz3i80hx/uTtqNweg72JtCXyKA6EsQ7FrWqP2+tjWLNvCYAWk9FgiAmP1xm8tra8YuTJUuW4PBhcv8hCMKcVw724d+e2oPfvHWaW38d1rRVv1AB5LolVgu2xUV/oCPKjnZrbcRS4CxorQEgL7jswESZk+bOzdURCAIgSubOc0PK75o9ijKjmrIUJ1EmCIIqvtJZRRAoooyX8yJgECmroB5lDH0DbIBvpExNX1QEH4vGxTyYuDDspC+6jbg218j3zYBJZJqlLtZFQ46+r+yetNOcGgCO98sbPmwOKMfMhhhqIkHkRclVH0XW42zNvKZx9vds7nv9yIDjcY0QRQmPbz2Jf3tqD14noUcQvuBZlN188834xS9+Me7no6OjnvtuEARxdvObt07jrx99A49tPoF7/nsnvv6cN2dEQHZ3e+O4vFgxbu4sN23dctT5YsVO6iJjobIgO2pTlKl9xBw0dw4FA6rQMmucy6zsm1ymLzZUl4+UMWOFag8mEIxSQeCHKGM1ZSk1UlZZNWWAds5MMPGM9pU2kNaugffPSY2UmRh9uI2U2elVxlKJjfqGmcHuSdaA3YoTaqTMXJQJgoBFylxy2EUKI9tYumT++HnuHYvkeW7TkQEum133/X4v/vnXu/HY5hP48I+2qLVsBEHww/Ms+7WvfQ3f+c53cN9996kNEMfGxvDv//7vuPDCC3mcI0EQZyFDySz+7ak9AIALlUaq33v5CPZ4cCIDZHONRDqPmkjQ0Pns4vlyWs/O08OOx2apiIsM+pOVwnbJj/bZW2z1KqlR0x02d25V+o6xPmRGeLEbB3SRMgNL/JTaWNi7cGKRMpYyp0ZpfHBf5G0nP5GURsq4irKS9EWeKaS1Sipx3KCmLO61psyGKNM3qHYCSxPuNdn40HN8QI6UzW+xdlGdrwi3ky7SqbedGAIAXLxgvCg7b04jQkofNOY46ZY3jw/ip5tOQBDkqJwkAV/87W7DTRqCINzjWZTNmTMHr732Gl599VWkUilccsklaGpqwsaNG/Gf//mfPM6RIIizkEdfO4ZktoBzZ9bjyU+/A+9ePQOSBPzglaOext2rs6w3sgpfOUtOXzzSlyxqTmwHZos9t9l6scV2yU/Z7G/Uo+zCT6u3HykDtF1/M1GmGX14E2VxnyNl0bBxlKaKQ5SGUelGH4AmwliDZ16W+AAQK2P0wUOUmdeUeYuUmdU9Mli9WUuN20iZs5qy+RbpiwAwp1mubXMqyoaSWbW+lc1pevR90Ly0AAGA7yqNqf/yojl4/G8vw5K2WgylcvjVGyc9jUsQRDFcZvLFixdjw4YNOH78OB599FE89dRTOHDgAC666CIewxMEcZYhihKeePM0AODOaxYjEBDw6asXAZAtno2aFNtF6w9k3EesrS6K1toICqKEt7sTjsY+pTZ3thZlmjOiPVGmpS86jZTJQstclMmfp1ujj8Zqk5oyxTLdS+NohhopKzH6iHIwmWCES6JMvOzkJxItfdG/SBmLUrL/59GWgIky3pb4+vcZReEYLH3RaQN1dk/aiZQVREltND3PRqRsjjKXnBp02pxanufmNleXrY9bpYi13R3DjsbW0z2SxosHegEAf/vOhQgFA/jkVQsAAL944yS3OmCCIFyKspMnjXdH5s6di1tvvRU33ngjmpqa1J93dHS4OzuCIM5Ktp0cQnc8jbpoCNevaAMg7/YunV6HvCjhhbd7XI+9V2nYvGKmcX8gQRCwYmaD8lpnO8hac2dr57aZSnPakbEckgaRgVL64ix90VmkTEtftGH04bKmzMzKnDV7rvZo9AHoasoUscGaFpeaGHghWBJlqsRIGTtn3s2jAS1SlvEhUlYdlr8jqZIGz/mC1vTZTfNo+X3y2GaRsgElUtbqMGLM7sleG+6LfQnZCTUUEGzVh85Rou6nXDanXj6jfL9EZmq0y0Ok7I97uiBKwEXzmrBQSdt+z3mzEAsHcGIghf1dzja2CIIoj6uZ/OKLL8Ydd9yBN954o+xrRkZG8Mgjj2DlypX4zW9+4/oECYI4sxztG8Xz+3oMU47c8sc93QCAtedOL4qC3KD0EXtub7ercSVJwn5FlJ1bRpTpf8d2m+2QyRfUFEM7oqwuFlYjA10WzZ1FUXIdKVPTF02NPrxZ4rOd+FxBUhfrDD8iZSw6w5pI8xRlauqfapJReUYfWrSPv9FHafPoNEejj+oIqxksnkviushZfcyduNdSbMvPU6zerKXWYfpiPXNftI6UsXt9en3MluBnkbLTQ2MQTdpalMLEkFlzarYxdbDHvXB6+aDcXmTtCq3fY1UkiKuWTAMArN/nbq42YmQshw37enBygHqrEVMTV7Pf/v378dWvfhU33ngjwuEwLrroIsycOROxWAxDQ0PYt28f9u7di4suuggPPPAAbrrpJt7nTRDEBPCLLSfxr0/thijJ9s2Pf+pydWfXC5sUm+brlrUV/fy6ZW341guHsPnoIERRQsDhYvP00BgSmTzCQcHUjGOx8rujffZtqFlz5+pI0HZt1qzGKrzdnUDHcBqL28rvaA+lssgrCzKnznAsUtZnkr7oNTVML7iSmUKRkObrvlhc76WKMo6RoGCgOBJU0ZGyPIuU+ee+mOYYKatSvkelkTL2/ayJBF1H/ezUlKnpi04jZXVa1DudK5gaz3QrdV7tNvsNzmiMISDI3/W+0YztSPnb3fKG0rL28qKMucT2xDOIp3OOTVTSuQI2KS61Vy+dVvS7tcunY8O+HrxysA93X3+Oo3GNONI3ig/+YDP6EhkEAwIeeP9q3HbhbM/jEkQl4Wr2a25uxoMPPojOzk5897vfxTnnnIP+/n4cOnQIAPDhD38Y27Ztw2uvvUaCjCAqlMO9Cfzv3+2BKMmL4s6RNP7pv3d6riEYTmWxX1lQMHt6xsqZ9aiOBDEylsPBXue7u8x+fkFrjWl0ZcE0uQDfbmNnAGqdyOymKtvtPuzWlTFB1VwTcdwImDnJlevPJIqSGuWscxmFCAUDqmAqtTPn6b44Ln1REWVRHyJlLChRiTVl7DvCbkU/ImUsvVNtHs0jfTFSXDPIYGmxdS6dFwHNtdGspmxAuc+cui/WV4XU+cSsdhOAar5hV5SFgwHMUBpZ221oL0mS2v/QrD1HfSysurm6sdzfeWoY6ZyIaXVRLJ1evKnE2o3s7hhxbJhUiihKuPtXO9CXyCASCqAgSvjCb3ZTxIyYcrh+0mWzWcRiMdx22234xje+gd/+9rf44x//iJ/97Gf4p3/6J6xcuZLneRIEMcF88/lDyIsSrlvWhhf+6WrEwgG8cXxQjXK55Y1jg5AkYNG0mnFRoVAwgDXzmtTXOeWYYj8/36I/EOsh1jWSVtPvrDjtwOSDwerKrETZYNK9OyJLSSwXIUhm8+ri3a3dOADURuX3lqax+tGnbGwCasrK/bsSKD1nnimYTHwzkxUWjeMpykojZawu0Yuw1zuElksDZPdZq8P0RUEQ1H6AQ0lzE6JupTZ0hoPa0FlKOrRd6/r+0SyS2QIEQXNvLMdiD33QWNuQC+c2jtuImttcjba6KHIFyVPNGiCnQO7uGEFtNIRXP38tLl/YgkxexHdfPuxpXIKoNFzP5HPnzsX999+PwUHnCyeCICY3/aMZ/EGp+/rcuqWY01yNv7hoDgDgp5uOexp7x6lhAMDFBg1PAeDCuUofsVPOH/SsPxCLhJWjsTqCJsVR0G60rFupFZlhcwdcfi2LlJkvtlj/r2YXNV+NFmlbzOkuHBQ8RZxqlQVzskTEqjVlHPuUsXqmnCLKnEYPzSiNKlViTVnp3xDkmr5YGimT/7+KR81gxNjog32HyrkI2oEZhIjS+O8oIJuJMBdSN5sfTawPWqq8oQ7gPFIG6IxEbFrus+bUMxuqLJ1JWar2EVeiTJ6DV89uHPc7QRDUOXzrcW/rwF++cQoA8NeXz0NbfQz3rJPTIX/9Vgf1QiOmFK6fRv/8z/+MH/3oR5g7dy7+/u//HocP044GQZwJehNp27brdvnDnm4URAmrZjWoxeIfvHguAOClA3223ATLwdwRzzXorQNoJhz7HJhwMFj64kIb/YGYk5hdUcaMOJy4I9rpIQZoO/jMet4J7D2jmbwqYvQwUVYXC9tOuzSiJmrcY0p1X+RYU8bSoTI+GH2U1ilWYqSs9G8IcxSW7LNmUUo1UsahLUE5ow/2nfLyHYqFg+q5Gy3kmZgSBHdN1Jlz6ZBJc2pA27xxIsraVSMRu33QlObUrdZR+0VKpOyIg/pZxi4lUnaegSgDgPPnyD/f0+E+UtabSOOVQ7KZCNv4u2heE5a01SKbF/HCfvdOvEacHkpZzscEcaZwPZN/9rOfxeHDh/HjH/8Y27dvx7Jly/C+970Pr732Gs/zIwjChG+9cAiXffUFvOM//iQbcjhw7zLj2V1dAID3nDdT/dnyGXWY11KNTF5U+9a4Ya+FOyITa4d7E2pNkV2O9cu7wQtay9dZMFgPoRM26xZ6VMt6+6lPTJT1WfQ3GvKQvqivwzFajGr1Ot5EE4tijKspU90XvYuyqjI1ZTyNPsZFyiqwpiwo+CcsWVSSffZpJapVFfF+Ddj1HR8p856+CGjpuUb3AWtOXR8Lu/q8mJAbtBBlLFLmJKLONnrsuDsCWqRsnkWaNqBZ7p92aLk/lMyqvdOYtX4pzPnRzQYaY+PBfkgSsHJWvdpsWxAE3KQ48bKMDa8URAmfe2InrvzPF3HpV1/A914+wmVcguCJp1k2EAjgAx/4AF5//XW8+uqrCIVCuOaaa3DppZfiiSeegCg6W1ARBGGf5/Z24+ENB1XDgp9tPolfvGHcQ9AJ6VwB204MAQCu19kgC4KA65fL/37tcL+rsXvjafSPZhAQgOVlXMNmNsTQUBVGriA5snLO5AuqQ6KdHeTZiglHh+Pmzg4iZbU2I2XKLn6TC1EWDAiqjfiwQdNtFinzUk8GaKJMHyUVRUldUFdzSF9kDYqZuYQflvjj67EqT5SNi5RxFJZsrFxppIyn0ce4mjKWAutN2DcovcqMbPG9OpC21FiLMkmSXM0Tbaoocxgps9WcWp7nTg+NOTJpYnPv7Kaqsp8Z65F2YiDlumUKi5K9c0mxu+O6c2VRtunIAPIGGQBO+dGrR/HkttMAZIH2H394G68ecvccIwi/4Paku+yyy/DEE0/g8OHDuOKKK3DHHXdg8eLFvIYnCEKHKEp48LkDAIC/fedC/OstywEA33z+4Lg+Uk5568QQsgUR7fWxcQ/9yxbKbolbjrqrIdir7KguaK0pW6MiCAJWzHDeR6xzOA1Rknfjp9ko5GfF9UzIWcF2sdtcRMoGklnTKKYaKXPZR0wz+xi/YIxzipQZpS/qXfS4RsoUMeaH0UdpDVmwAmvK/IyUsc+aiTK+7otKTVmuUCQQeKXA1pvUVzKhxppMO8VOTdlopqBuJDgxE5le5yx98aTi0jjXRnsSZkw0msk7qs86rJgmmbk7ttRG1b6KB7qdR8skSVI3+N55TrEoWz6jHvWxEEYzeTW7wi3xdA7f/pNcYvPV963CRy+bBwD4zz++7dlNmCB44noG/OIXv4iRkRHD/w0PD2N0dBSJBHV6Jwg/eOVQHw71jqIuFsJnrluMqnAQP9x4DN3xNJ7Z1eWpvwvrS3PZwuZxNUiXzG+GIMi1W73xtLrDa5fDPfKDfplJw1MAWNRWg01HBxxZ1rO6ulk2Levt2tUDsknAQNL5DnhzTQSCIO/MDqWyqI8aC4BBJcLlJlIGyHVlJweNI2VxtabMY/pibLwoY4YKgsCnuXCpJT4TBjwt8UsFTCVa4pfqSJ5GKBE1fVFerDLTFR7XgG3EFEQJ2YKomlTwakCud2AshW1OuI2UsdRis5oyFkWrjgQdGaOw+rOeeAaSJFnOX6xujc1hZsTCQUyri6IvkcGpwTHbDeSP9CqW+yb9HgFZPPUm+rC/K4E184zNm8pxanAM/aNZhIMCLpjbWPS7YEDAJQta8Pz+Hmw6OoDz5jQajmGHp3d2IZHOY9G0GvzlxXMwMpbDf795Crs7RrDtxBAuKmM6RRATjetZ9mtf+xoeffRR1NXVYe3atfjEJz6Be++9Fz/60Y/w/PPPY//+/ejq6uJ5rgRRUUiShAeeexsr/vcfcd1DL6kpgTz4/U753nrfBbNQHwsjHAzgry6RjTie3uXtvtt+chgAcPGC8Q+qhuqw2q9mpwsbZGbEscjCiIPVhB0fcNDcediZO6JelFntlvaPZiFJ8kKhxYFwCgcDai2KWXNnrabM3YKRLTSN0xe994ACjNMXU8zKPBLyZCLCYAKJRRvY/3N1XwyeBUYfE1FTViiOVvIQZdU6oaJPYUxm+aQv1pYxowG06JnbNF47NWVuW1uwjZ6xXAEJizTAXEFUUyTtmonMVrICTjmoK2ORskUmkTIAWOTQMEnPro5hALKwM3KRvGSB7MS7Q3kmueXXb8lpi3958RwEAwKaayJ492q5Xtrr81LP60f6cfUDL2LVl57Dt184RFE4wjGuZ9nnn38e1113HR599FFs27YNF154Id773vfiuuuuw5o1a7BkyRK0tbXxPFeCqCh+9Oox/L8XjyCVLeBoXxIf//Ebti2PzcgVRKzfKxc/swcLANy8Ss7Bf/VQv7oQd4okSdjbKYutVWXcEZkbI3udE1QjDgvLeuaeeNSBY1iXYjs/y8busf51yWzBMq2HpRW11UXH1fNYwVIpzcw+hlLMfdFb+uKwodEHn0gZS08czYxfTPOwSwfGp875YfRxNvYp41pTxq5BvrgtAY8U0nAwoJ6r3uyDR58ywHjjgBH3KMrUSJlJ+uKAIspaHPZBq4oE1bpQq2dEXyIDSZJrIVtr7B1nTpNzsw9moW+WvggAC5T63eNuRJlquW/8rFmpPIP2uHjWMAaTWbx1Ut4Qfc95s9Sf37Jafl4+u7uLi0HWqcEU7vjpmzgxkEIik8dDGw6qVv8EYRfXs+x1112Hp59+Gjt37kQ0GsWll16KG2+8ES+88ALP8yOIimQwmcU3nz8EALj7+iVYOase8XQe31B+5oVdp4eRyOTRWB3GRUqjZUB+eC5orUG2ILpu8Nw5ksZQKodQQMA5SkSslHNnyg9KN3n+bDfVyh1xgSLKjg8kbT8wWRqinZQeQE7rYVEvK7MPrXjf2WILsGeL77mmjNXSGCwYuUXKDNIXmWU9j9RFQIvGMDHmhyX+uB5fHCJ8E834mjKe6YvFRh+aMOYjvI0cGHkZfah1jwZ9ylgab4OLthOAPlJWfgOHRcqcRNMZbWqvMnNToG7VBTZme4OINZhmbopWjGUL6pxolb7IHBOPOchqYOxUelYa9UEDtGfN6aExDFv0hyvHq4dld8dl7XVFkcUrFreiOhJEbyKDAw4Mpcrx0PoDSGYLuGheE/7umkUAgAeee1tNzSUIO3ieyZcuXYrvf//7OH78OC677DJ8+MMfxgUXXICf//znKBS8GQ4QhN88vasT//TfO/Hfb57immrwm7dOYzSTx7L2Otx13RL82y0r1J9b9bmxggmuyxe2FD2UBUFQjTjeOObSiEPpN7O4rbZsYb/aR8yhKEtm8qpZxgILK+fZTVUIBQSkc6K6CLGi00VzZy2F0Xp3GtAElhNaayNFY5SSzhWQVBaoXmrKAPNIWb1nS3ylebROlLHaL6sGtnYplzrHtU9ZiaDhkXY50ZQuxnk6SJb2KdNSSPkcg5l5GKYvejT6qDGJlI2kWKTMrdEHSxHOln1WeBFlLBI3YNkHzXlz6nalib3duZRF1OpiIcs5iW2gnRpMOXJJlCRJtdIvFylrqAqrrUvcmn1sPKi4O5YYiURDQbWWzO0mJqMvkcHvlTTIe99zLj63binmNldjKJXDrxXHRx6IooSfbzmBzz2xU82WIc4uuD3ppk2bhnvvvRf79+/HbbfdhrvuugsLFy7kNTxBcOdHrx7DZ36xHb9+6zQ+/+QuPLj+ALexH98qpy189PJ5CAQEXLKgGcva65DJi3jO42T6OhNli1rG/e6yhfJDZotLUbZHefCtLJO6CGjpix3DY+pCxw4sStZSE7HcrQ4FA2p/Hbt1ZWxn1276IqBFvqws61nKUovNdCE9bFFjVO+l/7ne2t4pDSauc7ws8UtNOAD+kbJISaSMZ+ocY3xNGbehJ4zSSBnPmrvSPmW8hTGrK9NHEDT3RW/inhmFJDPjN4SZ0Ue9S6MPdv/kRanIdVQPE1TNtc5FmR3LfUDrg+ZElDF3x16LfomM04ojLXNuNGNmQxUioQByBclyc0tPXyKDRDqPYEBQhZ0RbjcBGayW2+x5ycyt3PK7HR0oiBIumNuIlbMaEAwI+OvL5ym/6/Q0tp4vP7MPX/ztHjy57TT+9rFt+BWHFjjE5ML1LPve974X1157LS688EIsXrwY06ZNQzQaRWtrK770pS9haGgIp0/z2yEgpiaSJHm2eDfi9FAKX//j2wC0HbTvvnTEkQV7OY73J3GodxShgIBblebLgiDg3atnAIAnUSaKEnYoKR+XGBhxXKzs/O3tHBnXC8gOh3vlNI5l7capi4C8OGENlI8qNWJ2YE2a59norQNo4qrLxoNekiT1dXbTFwH7zZ3ZQqnRhRFHYxWrRTEWZepiMebeLMMsQsCaPXtNDWNpZ/oFaUb57xinSFmkNFI2Ac2jSyNnlUBpTRlPV38mysalL3ISZaz+MKX7HjGBVsspfdGwpsyj+2J1JKh+7om0cUoaS230EimzEmXMeXGGA+fb6WpqpM1ImYMNrkBAwDxlA81JCiMzEpnbXG0aaV/SJj+LjvTZf9Yw4umcai51nkGK5KXKM5Q9U93CGlzfdoG+Zk1+3r95YkiNbnph24kh/Pi14wCAKxbLAvPLT+/DgMWGohsy+QKZlJwhXM+yjY2NOO+88/Ce97wHf//3f4+vf/3r+OUvf4kNGzbgzTffxKFDh9Db28vzXD3zzDPP4NJLL0VVVRVaW1tx2223Ff3+5MmTuPXWW1FTU4PW1lbcddddyGa9pZoR7tl1ehhXP/ASlv3bH/HZx3eoiwMe/Pi148jkRVy2sBk//fjFuGllO0QJeGTjUc9jv6ykS1w0v6koOnGD0gzztcMDRdEGJxwbSCKVLSAWDhjm+s9oiKGlJgJRgqs8eWassciijmChUhPmxIiD1XzZ2X0FgJmNsaL3mREfy6tiwckOsl1R5qXmi6UWGvUQA/jUfLHFrNFiMZWTf+a1uXOVQeNf1S7dp0iZP82ji8dyatwyGRifvuhDpMwH90XAuIG0Ginj5L6YNKjj8eq+KAiCapZjZLkP6Iw+XETUbYuyuDPnRUAnyhIZWzW6HWqkzN4GF9toOzXowEhEfdZYmD4pv3cjyvYo6fizm6oMHTFXzGhAQJDnf7s94kqJp3OqqLtmqWZuN6OhSrX5f0VZE3jhkVfktcmfXzgbP/vEpVg1qwHJbAGPvnbM89iMVDaPv//FW1j6r3/E9Q+/zGWTmnCG6xnwJz/5CcfT8J9f//rXuOOOO/DVr34V1113HSRJwu7du9XfFwoF3HLLLZg2bRpeffVVDAwM4GMf+xgkScK3v/3tM3jmk5vhVBYFUXLsNmVn3I//eKv6kPvt9g40VofxpVvP9Tx2OldQLXI/9c5FEAQBn7p6Ef6wpxtP7+zCve8511OqFxNl+gkakOu0ptdH0RPPYPvJYcN0CitYXv3yGfUIGUQPBEHAipn12HioH3s7R3C+g94uoiipqYJm6SSA7J7otI9Yh0MjDrXea8RalDG7+bpYyFGTW9uRMiV90U3Nl1rvVTZS5t0d0ciEg6G3rfdClWH6It9I2bjUuQmJlHEbesIoPWeef0NUdV+UlP/n25aARUX0m2xJTn3KtAbnBumLavNo93N7fSyM4VROjbqVMughfdGuKFOdYB1EylprtX6JA8msZW1sx7AzUTZDqVnrsjFXM5i7o9UGIPv9EQcbgAwrd8eqSBCL22pxsGcUezpGVPHqhM1HBlAQJSxorVFT7hlXLGrF9pPD2HR0AH9x8RzHYzN642ls2N8DAPjU1QshCAL+7ppFuPPnb+HX2zpwz9qlXFxkv/z0Pjyj1MYd6Uvikz99E3+8+yrPJlGl9CUyiIQCrqPWZzMVmE3vnHw+j3/8x3/EAw88gE9/+tM455xzsHTpUrz//e9XX7N+/Xrs27cPP/vZz3DBBRfg+uuvx0MPPYRHHnkE8TjtFhjx3ZeOYM1XnsdF9z+Prz27n2u4+/+9eBgDySwWt9XigfevBgD816YTrmx3S9l0dADDqRym10fV1MXz5zRi0TTZufClA+53tURRwpvH5XquKxa1Fv1OEORmmIB3I46VM8vXfLl1R+yKp5HOiQgHBcuHsWpZ7yB9UW3u3OisjxirbzBDNeJwuDmg2tVb1ZR5ipSZpy/ysKw3swJnLnde63ViBumLLFLmRAibES2xxM8V5DmFb6Ts7HNf5BntG5e+yLmmjF1jfVo6i5p5ba1QY2BGw9DSF93fZ/VVLFJWJn0x5d3ow0qUsd+3OjhGKBhQo3e9CeuIEDP6sFufO9NBqjmDRb4sszKUSNlgMmv52ZSyu4O1d2ks+xrVdr/D3Tpv81Hleb94/CYr23jddGTA0/rohbd7URAlnDenUXVFftfyNjRUhdEdT6trDi8c7EmoFv7/54PnY25zNTqGx/ATJWWSB6Io4X//bg8uvv95XPSVDfgJxyjf2YKr2WnBggWuah/uvvtu3HXXXW4O6Ym33noLHR0dCAQCuOCCC9Dd3Y3zzz8fDz74IM49V468bNq0CStXrsTMmVrfpxtuuAGZTAbbtm3DtddeO27cTCaDTEZbzDHxlsvlkMtZGyAk0jns6ohjWXtd0STO3mtnDDMe23wSP9l0Au31Mdz77uVYMt188nPCSwf78J9KTRYAfP+Vo5jXXIUPrJll8i57pHMF1Sjj8+uW4Nql0/D7nR145dAAHtt0DP9y41JP4/9pn5z/fc050yAW8hCVtcHa5W040ncMf9zdiZtWTDMZoTzH+pOIp/OIhgJY1Bobdw3XzG3A73d2YsuxfuRy8x1f691Ks81l02vKvmfZdPkhtrdjxNF36FC3/ACb01QNSSwgJ5ZPsZzbJAuro72jto/RMSw/6NvqIrbeM71W3kXrGBqzfH3PiDx2S629sRlNVfIirjeeNn0fi9jWRwOO78vasDxXDqeyhtd7aFReyNRFQ67v+Ziylk2k8+PGYFGISEDyNKeEBHlRkc4V1HGSGflzCQe8z1cAIECLkGWzWVUQBKQCl/EBQBr3vfb2uZSD1zxuTPECT8znweswgiR/Ppm8iEwmqwpjQRK5/C1qn7KM/JyU64bl6xyCt2NEFd2YzBTfB5IkqZsf0aD7a1KriMahZPF8wf6bibWasOD4GPWKoBwYzZjPRcoGktO5qK0ugv7RDDqHkjhnmnkKOUtfnF4XtnWMNjZXD6dsn9MxRZTNaYqavicsADMbYugcSeNg1zDW6NrAWHFYSeFfMq3K5Hkpr4v2dAzbPnf9vb3rtGwkct6s+nHvXz2zFqGAgO54GqcGRh05A+t5XlmzXHdOq3qMAIBrzmnF73Z24cW3e3DhnHpXYzN+tPEIAGDdijbcfG4bCoUC7nliN378+jF84oq5XCLlj20+if/adAKAvOF27+/3YVFrtWq4woN9XXHc9/TbGExmcceV8/EXF832NJ7RPN4/msGh3lGsntVgq1bbyX3qSpS5TV2cP3++q/d55ehRORf33nvvxcMPP4z58+fjoYcewtVXX42DBw+iubkZ3d3dmD59etH7mpqaEIlE0N1tbMzwta99Dffdd9+4n69fvx7V1eaT3ukk8N19QYzmBUSDEu5YKmJJQ/GDdsOGDU7+zCLe6BXw8yPyJH9ycAx/9f3X8M/nFeDCp2AckgR8bWcQgICr20XUhiU8cyqI/3hmD6JdO+F1Q3Vbv4B4OojmqITk4a149giwNCjgFQTx+JbjWFk44ild5w875HOvS5zAs88eV38eSwBACC+/3Y1nnumAmw30rX0CgCBmVhWw4bk/jvv96Kh8jB0nBvDMM8+qx7B7rfeclM994MguPNu7y/A13Sn5GAe7houOYcXGbvncqwsJPPvss6av7R2Tj3G0L2H7GMd75XM/smsr0kesX8+OcXpw1PIYL3fJ555LDFieu57+tHyMnpGU6TH64vK579z6Orr22B6+6BgDiTH1Ouuv95sd8rmP9Hc7Onc9A8ox4qlM0RiSBCQz8rlv2vgy9nvIMh7MyMdIpnPqMfacls+9t6sDzz7rvVHqkHKMdC6P3z/zB7BH1Et/egEeAhxFjOYA/aPvxPHjePZZ77Wk5fAyj5ejsyMAfaLLhvXrwal/t3qdM9kcnn5Wdw1eeJ7LNejvkc99x+69aB7YAzlIJg/88osvqBsMbuhR5ozh0bGi+yAnAgVRPsbrL/0JboPSqRH53De9uQPB09uLflcQtSjylo0vYY/DZ+3ppHzuXUPl519RAoZT8v28ffNGHHESkBuTz/2F195E6nD5qE1eBHoT8ge0/83XcGqn9dAn4vK5H+4ctDWHFSSgc1j+Ow6+tQm9e81fXwv53J9+aTN6ptmLOIkScER55pzYsxXPHjZ+3dCwPIftOt7jeP59bv0G7DolH2Pw8A4827lj3Gumx4LoSAn46e9fxOpm59GyvAhsPCgfI9z3Np59VtsMr0vK5/77N49iec59D9S8CPxuu3yMpejEs892AiJQGwpiMJnDN3/1HM5t8pYJlS0AD74lH+O2+QV0pgRs7g3gX5/Yis+uLLhab5USzwL/sTOIZF4e7Iu/24fD+3fj/BbvWVxsHt87JODHBwPIiQIawhL+/twCplsElFMp+7WWrqamq6++2s3buHPvvfcaiiI9W7duhSjKu3Bf/OIX8ed//ucAgB//+MeYPXs2nnjiCXzqU58CYNyvRpKkslHBL3zhC7jnnnvUf8fjccyZMwfr1q1DfX35XYtMXsR7/t8mjOblVLxMQcDPj8fwwmevRF1M3pnasGED1q5di3DYuYpKZvK49+GNAHL40CWzsfnoEI72J3EwvBBfvHmZ4/FK2Xx0ED2b30RNJIhvfOI6REMBvPnwRvQkMgjNuxA3r2r3NP6G/94FoBt/celCvHvtEgDA2oKIX/3HS0ik85i16h1qAa1TukbS6N/0CoIBAX//gbVFbl/ZvIjvHfgTkjkRSy9+Jxa3OY8svvn0fuDwKVy9ch5uNvisM7kCvrH3T0jlgQuvvA6t1UHb13o0k0d8058AAB9+z9qytRGZXAH/uesFjBUEXHr1u9BqM6Vvxx8OAMdO4NIVC3CzRTQynSvg/h0vICsKeMe116uNVcsxli0guUluLP+X7y5/7qV/h91j7N9wCDh+DKsWz8PNNy+3HJuRyubx5e1/QlYUcPX16wzd3zJ5EZlNzwMA3nfzWsd58PGxHL68/UX5GNe+Cy+/+ELR9d6/4RBw8hiWLZpv+J2xw1Aqi3/f/hJykoC1N9yo7mpm8iLEzfK533rTWk+1AYPJLO576yXkJQE33HgTggFBPvdTx7DEw7nrGRjN4N63XkZBEnDt9WuBLS8CAN590w2IckqRHE7l8MU3X1T/vWih9ffdDV7ncTNe/90+bO7V3I1vuulGbkYcvYkM7nvrZRQg4Nrr1wFb5DmH1zV47am9eLO/AwsXL8XN1yyUay3fkK/He26+0bBW1i7d8TS+uuMVZKUAbrppnfrsHkxmgS0vAQD+7N03ua6/eSWzB7sGOzF30VLcfLXW8ieXy+G3z2ri+7ZbnR+jO57GA7teQaoQwI03rjNMSR0YzUDa/DIA4P23OvusXs/txb43O9A2/xzcfO2isq/rGkkDW15BOCjgA++5yVZWVMfwGL61dyPi+fLnrqdzeAzi5o0IBwV88M9usnz9xsxeHHyrAy1zzc9dz8nBFPKbX0UkFMCH31v+elwwksZ397+CgUwAa29YaysixO7tRRe8A9nNb6A6EsTHbltreIyNmb148q0ORNuX4ObrF9s6dz07Tg0ju+UNNFWH8cn3ry26HpeMZvCz/3wZHSkBV15r77lqxKuHB5Desg2ttRF85i/Xqtdju/A2Htt8EgPVc3DzzStdjc14/M3TSOX3YXZTFb768SsxlMri2oc34sSoiNnnXYHzytT9OeGLT+1FMt+BZdNrsXJWA558qwPP9dTgn/7qStfzo34ej2dE/O9vvYacKEfER3ICftPViKfuvNz0fndSAsVp7/HM8JnPfAYf/OAHTV8zf/58JBJyCHvFihXqz6PRKBYuXIiTJ+U+D+3t7diyZUvRe4eGhpDL5cZF0PRjRKPjF7zhcNj0Ifzr7SdxtD+J1toInrnrKnzokc040pfEf205jbuvP8f2OOV49q0uDKVymN9Sjfv+bBVePzKAjz36Bp7Y1oH/deNyz9bYv90pF4L+2QWz0FwnbxH85cVz8K0/HcZTO7vwZxe6L2jNF0RsPCz3DLl+Rbv694fDwNXnTMPTu7rw0qEBXLLIXXrh3q5+AMA50+vQVFu8vREOAxfMacKmowPYfjqB5bPsp0lo48vftQvmNRteu3A4jCVttXi7O4GDvSnMWNKs/tzqWp/ukXdbWmsjaKkvH4kNh8OY1ViF00NjODWcxYwme+KSuXrNbam1PJdwOIzW2gj6R7PoHc2jrcHcGOTksDx2bTSE5roqWw/6cDiMhqowRsZyGEmLaGsof06DSr3W9IYqR/dMQziMmkgQyWwBw2kRTbXj3zs4JqcXBgMCmmurHNfvNAVDCAjyzm1SKUXRX+9RpZ6msTrievHeWKMtlrOigOoYG1urwaivjnla8NZXa+8tIIBYOARmoFcVcTdXlVKtuyUzovY5V8ei3OqmYiVTdigU5C6a9Lidx03HLFlgxCJhT9dWT3VU3lUWJSAP/tegOqr0+5Lkz6YA+UsUDAioKr04DmlUpqGCKEEUgmqtY1aU54eqcBCxqLsG7QDQWC2fXzInjbumKeXerouGXB2jrUG+fgVRwlgBaIyO/87Es2nlPMKOP6vp9fLNNZjKmX4fh8bkzeJptVFEIvb+jlnNQQiCnJIWz0qYVmf+vp5R+Tk5o6EKURuf1dwW+cJ2x7O276WTctgdC1trTK/H7OYQqiNBpLIFdCVyljVuet5WnskrZzaUPcZ5cxrx5Fsd2NedcDUP7OqU0zwvnNs07nrMaApjbnM1Tg6msLc7Oa5Btl1eOiivi65fPr3oely/oh2PbT6J148MIhRy37IFAJ7eLWecffSyeYhFI5gRjeCGc9vxux2d+P2ubly0oNViBHMGk1k8paxNv/y+VVg1qwEbD/ejcySN5/b14c/XeEtjDIfD+PFLhzEylse5M+vxo49djHXfeBlv94ziuf19+LPzy5fuOLnuFW300draimXLlpn+LxaLYc2aNYhGozhwQGsOnMvlcPz4ccybJzf4u/zyy7Fnzx50dXWpr1m/fj2i0SjWrFnD7ZwlScJjm+Wc2r9950JMr4/hHxUh9qs3TqFgw67Wil9tlYXmRy6bh3AwgHcuacXC1hokswXVWcctBVFSjTBuXa3V371b6cf12pGBoqagTtnVMYKRsRwaqsLjnAOZm+FmD40ed5weBoCyroQXzZeF2E4XfUskScIhxVFqqUmfrxUzlGaYDu1mmakGs6M3Y6HyYDnmwojDrjsiKwLvsGFZzwrA2xtijiZ2u+6I7Pd2o4J6mKMiaxBdCisub6oOu1qUBgKCGl0bNjiG2tzZgxNVJBRQdwL1tvisF1QkFPC8aNfvNLI0LdV9kZclvu4cmU16MCBwNbI4K40+OP4NesHHrkGI4zXQjD7kDJa02uvO+3eoWucwqnciVd0dPbaFUC3xDdwXx5QNCrf3cTQUVM14yhmJDIwqhkMujETUeS5pXt+imiZZODTqCQcDaFNeb8eB0amRCHvd6WEnlvv2jEQCuubVzBHSLqztzIqZ5TOjzp3lzniL8dZJuWatXHYQ+7mXXmvMrOSapcWi7tIFzYiEAugaSeOww89Gz0gqh63H5b/j5lUz1J+/VxEyG/b1eDaK+92ODmTzIlbOqsdF85oQCwfx4Uvl9f1vtnvvmZzOFfD4m3KK/t3Xn4P2hhj+5soFAIBfbOHXxLuiRZld6uvr8elPfxpf+tKXsH79ehw4cAB/93d/BwD4wAc+AABYt24dVqxYgY9+9KPYvn07XnjhBXzuc5/DHXfcYZqK6JQjfUns7YzLqQFr5IjSDedOR1O17KLjRXAAsl3urtMjEASoyl0QBLxXaWrIbFXdsuv0MAaTWdTFQqqAAYAlbbWY3VSFbF7Ea4fd/w1vnZBv3IvnN49bRF6sHG9PR9x1n68dJ4cBABeUEWXnznQnmAA57SeRziMgmFvKL1dE2YFuZ33EWE8wK7t6QO+O6MSynjVftleMPEtxaOyw446omFm0OXjQA/bdEfuVxYqThQRDs6w3FmVDqijzssMuv3fYoL8RD/dFwLhHU0pZmHp1XgTkxQsTX8wtj7f7ol6UsWOUWth7pVTAVGLz6NKNDZ6itVgYKyYxHN0vVVGmzOFpVdh7/w4FA4LauiGls8VX+6B5bAvBWqUY9SkbU+pYvNzHbPyRMn3QBpP+uzv2uhBlgN4W39qBkT0zZtm03J/t4FnDYKJsoUUfNMC97T57vi4yKXVYovyuL5Epe13NYBvEF841ztxhaxkm3pwST+dwsFdei6yZV2y4EQsHcZFirPLmCXfjA8BLB2X3yKXT64raBly2sAWRUACdI2lXfej0PK+sbd97/ix1fnyfsu59/ciA+hx3y2uHZdfuGQ0xXLdMDhD85cVzEBCALccGbW1O22FKiDIAeOCBB/DBD34QH/3oR3HxxRfjxIkT+NOf/oSmJvkLFwwG8cwzzyAWi+GKK67AX/zFX+C9730vHnzwQa7n8ae35S/OZQtb1J2raCiI65dPV37vreH2i8r7V89uLJpU2Zfo1UP9rgUNAGw8JIe5r1rSWpR7LQgCrlZC51u8RLKUCchoV2huczVaayPIFkS1KaQTRFFS33deGVG2Yoa8q3WgJ6FaQtvlUI88qcxvqVF78RjBHhJOenzpX7/AxkOGCbdjNh8y6VwB/Yrwcbp7aae5c3/CnWiakEgZE0xlLOuZlT0Tb25gkbKR1PgdcB7NowFdrzJ9pCzLp0cZgy2cWYSM/T+veqZAQFBFGIu4+y7KKrBRmT7ax6M/kR7mjgho0Sauokz9DrFIGV9hr9ri6zcnsnw2J1gULG7QpJ0Ftzz1QasqH4kDgMGkPM+5iZQ1W2QEMNxEyvSvt5qrAS27wvazpok9a9K2ml8DwKlB+Rhzm81N1wBgvvK8POmg+TUAHOuXX2/WALsuFsb0evmzOepQeIxm8mpLGLaZW8pqZS2zz2UkbsfJYUiS/DkZXXOWVcQ2tN3Agg2lkbiqSBCXLpCF4MtKCqUb4ukctijRvnct18qN5jRX45zptZAk4NXD7scHgBeV/rPrVkxX59wZDVWqWH7R49qdMWVEWTgcxoMPPoienh7E43Fs2LBBtcNnzJ07F08//TRSqRQGBgbw7W9/27BmzAsv7Jcv3LuWFTcWZqLJ64VljYuvK2lcfO7MerTVRTGWK7jeUQGA7cp7L5k/3sKURc62eRifiTKj9EJBENQbYJuLXZuO4TEkswVEgoGyk+jspirURUPI5kU1MmWXw8puk9muGaATTP1J2w8YADihNHae32ItyuY0208tBIBuZXezOhK0bWThJH2RRbqciiY7D3pJkjCgLFZaXUXKzPuIaf2N3C+26kyaO7NUJV6RMqO0La/9nxgsCjGW9WdBDWh9sljqJa9aKUapiKlATVb0N/A+f0EQVGHGImW8GkcD5dMXo5xSYGMGTc5ZpMxrPTW7RxMm6Yte5gn2XqNIHKBlBLR42HwasIgYsKyGaXXO7NvZ3N5vkdUA6ESZzUhZe30MwYCAbEG0zJpwc4zZak9M+6IsLwKnFMHkVwPsQ0p6ZFtdVN3EL4VF4noTmbLZHmaw9eCFZdIj2Vpsp1L64Ya3TsjvvdCgncFlC1uKzsMNm48MIK808C7NJGLBglcOuu8/K0nAiwdkUXedTvQBwLWc1u6MKSPKJgNpnSC6pkQ0XbmkFQFBDof32thpMkKSJFWssKaFDEEQcLGyI7Hd5Y6HJEmaaDIIpa+ZK4+/p2PEVTSufzSD00NjEARgdRknHhbh2u8ivZDlRC+cVlN2oRcICFg2Q64H29flLBrH6smWWIiyOc3VCAYEjOUK6HFwrVl6oVVjZ0CrC7MTxZLH1urJ7NZ8zWDHsJGu0u9199XkQZzMFtReSq6aO5vUewF8IllmooyNX+8xUlZjIMrG1EgZZ1HmU00ZoEVl/EtfLP53JdaU6aN9fqRfMhGmRsp8EWUsBZbVlPnzHQU0cclPlJlEyjzcx36mL7bUspqyrGn9jutImTK+HVHGUhztRspCwQDa62WRaEc4iaKkPtNmN1pHytT0SAcpaP1puca+NhqyTMtnTs5OU/QOKqKMNYw2oi4WVj/Hgz3OUwB3n5bXOeXq7NnPD/YkDJuyW6FPjzRKwbyAQyRuu7IuNQoWvGOxbCDiJf2yLy2L3kgoMK6nmpohdmyQiycEibIJZG9nHLmChNbaCOa1FE8UdbGweuO5FU1dI2n0JjIIBgSsmjVe1KzxEGUCgBMDKQylcoiEAqpZhZ45zVVorY0iV5BcpRcyobWgtabsAnip8hm97bAeCwAOKRODldX94jb5GE4jZSy90GrXLBwMqCkVxwf8SS9komwolbNlvNLh0OQD0OrD+m0ISyaqpjmNlNVaR8qYmIqEAq7EQZOSllgurYdFsuo9RLKMolgM3jVl+vTFpCJseEXKYqWiTImUmaXrOoWJMrYA4J2eJwhCUU+cykxf1P83//NnQpgJY17pqfJYSvpirjTa6l+kjM2BXjcnWBow+1z0pAryZ1bvoZmblh5ZRpSl3Ne3svfkRQkJk8W1KsocztWt6vPAOlrDjuGkxrhdabzcE7d+3gwks8jmRQiC9j4zZjfJz+OOoTHbhhM9Y/L1XjStxnIjk60JnJplHOiWX28mygDNWIwZjzg6hvKeZWXSI9vqY5heH4UouRt/5ynz9MhVsxsgCPIaxE7qqxHMi+DCeY3jfsdE37H+pOu6suMJ+fquntUw7lm3rL0O1ZEgRjN5dY3pBRJlEwhL/Tt/TpPhTcxCu9tduugwMbd8Rp3hImyNMv5bJ4dcOd2wKNm5M+sNawwEQVAjXG4iWWyX55y28hMQm3yO9I26rvlaYjI+4M4kAwBOKTt4c1usd+a0Y9hLl2A7i1XhoK3apvpYWF3k24mWsfTFmTYeYAx9aqHV90mt+fKhToHVgjVWhV1Z9jZa1JTxiJTVKvbWpaJMkiSMKgtGox5pTmD3vD5CMKYuRvnUlKnHYEYffkTKFMXBFtU8U+cYfkea/Cbo8/mzTAJWk8i3pqw4fTHD0egD0CJlTOwB2uaEV6MPo3o1Bo9ImZa+aCyaWFqjm/rWWFhzdxwcLb84dWv00WrTlCmTL6iRQCfHYAKuN27DSER55k2vi9n67rY3xBAQ5O+k3fTIfuU05tsw3mKb8Kcc1qyxSNnSdvONXibaDjrcrE7qatbMhB/73SEXomyXRSSuLhZWs4vcuF7nC6J6DKNIXGN1RE1p3OEyBfP4qDzHGnkdhIIBnDdb/rnbgIoeEmUTyHYTEwtA+0LtOOU8ygRoou+COcYuPStm1iMSDGA4lVNvRCew6NTKmeWb/DHR5CaSxWqylkwvPwHNbqpCbTSEXEFyHMlS0wtNxgecm2QA8sTQ6SC9kDkQ2XWT6tTlx9sVHqqNsB13RBc7l+yBmi2IZRcRDNUd0enuq406hREPCxX9+8qLMu+RrNoy6YuZvAimZ6s9irJqw7Qt3pGyYsGk1gP5ESnLapb4vCkWNdyH952AjzVlgPaZj/kgjMumL3ISZbGSjQNAcyH1aonPRJ3e2ZHBxejDxHIf0ESZ27o11YHRpPao321WQ531XC3/Xj52OCg4+jtUUWbHSMShu2MkpKVH2n0mD2Xke8TO895NJA6wn33Dsn+OOmiBA2hrotbaqKl5DNvIdpMeeVCNxJUXfecqa8q3u91t5o/lCqiLhcp+Tl7NSlikrJwDJovQveUhRZJBomwC2WXRI4t1NH+7OwE3qan7lS+0UeoiID9YmfOfF9F0jomoWcbC6G7SC5Ub3iy9UBAE9fhOQ+lHbfYtWaBzR7Q7gXbH0yiIEsJBAdNtFEizidxOPRbgLr1Qc0e0PoabOoJoSDMF6U2UP0ZBlFTXsFaLpqKlsAfFcCpX9lpokTJ3lvVN1eauZGyB5GWxVaemFhYv5vQ5+lUeF6VMeKV1i1G2qOZhiQ9o4iurRjn4pp4BmvsfW6zzrikDUJS+6Ifo8xu9qPQzfVGLVvI7hpq+6NN3iPU7K9qc4BUpU96fLYjqPcDgYfTB5phyNWVxjz0NVQfGMmlcY9mCGmFsrnU2n6obaDadcqfVRh1lNrQposmWKBt21gcN0IST3Q3rQeUjtPNMZs/7RCZvuYHJyOZFdCo936yyb1gk7sSAP5E4tpF90EWkzE4GlDa+c9F3oEde9y6fUV82FZ2tid2IvkyugE7lYz2/TECFRcrc9qLTQ6Jsgkhl86pFazlr0/mtNYgEA0hmCxhykVqrpufZEE1ebq7FNtILD/QkHO0I6RsvW6UXMlF1wkF64Ugqpz7QrCxy5zTpjDhs5K8Dmv3urMYqWzUqbCK309MF0EXKbPYQ0x+jw0bDTT/dEQeTWYiSvKPfUuNsfBbFMquDGB6Tn44NPkXK4j5Gylh6WCwc8Ly4NjI4GOO0GGWw1MJMocQ5j2OkLBhg0Tj5GCGOgkA7hjamm5TXM01xpMyP9MVSYexHn7LS5tGc0hfZ5oSB0Uetx0iZPuJcWleWVmrKvByj3sJ9kYk1tymSVg6MbGMqHBQc19+1KiIumS2Y1jF7tdy3I8rYRqTdSJn+tXbNPgaVSJkd4RcLB9XP55RNh8fO4TFIkvxssIpazlPWNJ3DY+M2C8xg6YhWay62Ee60Jq4gSqq5iWl6ZJv3dalZsEBLv3Qu+o72pyBBQH0spEZTS1nWLq/pD/eNIu+wrKYUEmUTxGE1TBwpGybWR7K6Us4etCOpnDpZLTH58i9VvjxOI2Vj2YI6mZiJvoWttQgFBCTSedtRIEAWBSNjOQQE62aPLIf7uINdIXburbVRy1SuSCig7mzZ7SXGHKHm2OiJAugFk013xCFN9NmFFTjbKZ5VU1YcPijbbLgjsuM310QcC49YOKiKjZEyoklfU+YGy0iZx4UQUN59kWcfsVITDkAvmvhM9ZGSxr8TESkLchQEDL2Q8UHz+U5RTZwvkbLiui+ewpjVlKXV9EXFLIZ7TRn/SFkkFFA3JkrrylhGoxeHR7U5tYG7oyRJ2lzk0kyEbUCVE31sLm2oijjerKiNhtR5xszsw60oc1JTxjI3pjupWVN6ifXYGB8AhpVHnp30RQCY5TASx3qmzW2utrwW0+qiqAoHIUrOHCTZGsqszxoALJ4mrym7RtK2jMMYJwaSyOZFVIWDpp8TE01H+5KORc0hGw6VTLAdH0g6dgbXu2qXuw6zm6pQHQkimxcdrUuNIFE2QRy0kZoHaJGsTofXlbm+zGyImRoGaOmFzsKsR/pGIUmyU52ZHW8kpDkLOolknVS+yDMbqyxrC7RQvf3xWYGt3QlUTS+0OcGxfiUsBcIKJq56ExnYmYO6lQdFe4N9UcZ21+zsLHrevTSJKDJ3RDcNTwFtIVFONHmtKWPpRqlswXCXkUtNWRn3RZ59xDQTDu1vYItqXgteJsqyypeWfV58I2Xyg4/VHPFMnWPodUzFuy/6ECkLBkqFsQ/pi6WRMs7ui/rNCV41ZQBQrYxRujhlosyL8GNiyyh9cSxXQF6pa3C7QaSKvrKijLk7Oh9fEAR1bWDWoNrts2a6g/RF7Rj2M0va6uyPn0jnMKZERu2WFLA1hd1eaEyUzbGxphAEQVt3uVgXWW0mN1SH1eckywqyg37dazbPzm6qQiwcQLYg4oRDM5QDNqJ90+qiaKgKQ5Scu2qzgIrZ2j0QENRgiJtoX9FYnt5N2OZQr7WaB4BzFNHkNFKmfvktxmdfrOP9KUc9FVgIeklbneWuDRNNbiJZdiYg1jzZyfhsd8puJGuWwz5fbKK1K/paaiKIhAKQJGDYhkurFyMOq0hZMpNXIzaO0xdtOG4Nj3mr+bJq7swWEo0ubKIBLbUQgGEflriPfcrGOEbKjCIEfkXKmBhjDqg8IylaPZM8th81U36n//lNwGejktJrwLOub7zRB98G5DED90UtTdj7Mdi9Olpi9pFRDudF+Jk1j2a1SMGA4LpGlIk+o0gcoM2xbiz3AaCBOdmWEX2Arjm1w2cNe/YNKnb3ZrgRftOVSFmfjZIF1jO0qTpsW4Q77YVmVzAx5jp0eJQkqSgaZzm+8pqTDkQTa/ljlf0UCAhY0KqUpTgQlfqyILP0Rb0XgVPbei1SZv43LFXGd+PXoIdE2QSh1XvZq5fqSzt7CB622bh4ZmMVwkEB2YKIrhH7Ox6sgLS0v5oR8xTRdGLQyY4NE03WooZNPv2jGcO+T4bjq6LPnmhyml7IIkUzbFrKBwKCKvzs1A+6SS+0K8rY2NWRoOPUG603jbVlvduarya15stYvWopN+7GDwe1/mal3ydRlNSfeek/VM4Sn4nAag47+CxSpt/B19ILOUXKgpookyRJbdrN051PS53zz+jDb6MMv9Gfsy/pi6U1ZVzdF4uNPlgaI6+NA6PayjRH230miFIl9zIrMfOywcIiWUbNqVXDoVjIdR2klh5pLJpYhMuvuRrQCaYy9Tnlx9bS3weSNs1EHFnus0iZfcv9mQ5qvGc7cEMG4Egw6V9nVzQNJrNIZQsQBHu1d25E2SkHf8M8NdJnf3xWXtJUHUaLhchna2vnrt3y663W1izgYbfkpRwkyiYIzdrUol5KETT99suxAAAnFQFk1TMjGBDUnZeTTiJZDnZt1PRCmz24isa3ESmrj4XVVDi7uypOd52cijKWhz7dwYOGFY0OZ80fsPmCqBZmO4lkteksis2iomoPMYc7l4B142VAM+JwW/NlZcTBdmXd7u4CWhSsdLGSzOZVy3ovNWWa0Ufx7npKrXXhIMpMasp4pYZFdZEyJsgAzqIsWBql4f+YEircEl8vynxpGVBaU8bxGGpdYt6fFNiqiFKzltXfB/w2J1jriqRu/IIoISvKn5GXmrJqXa/B0jl7xKMdPqA3EjHezBxR51J/5mpAs8RvdZjOHggIWv1vsvz4yUxevTau+qDZ6LvJDMDKGT8Y4ST9EtDWHnazb9iGcLdNczImrtrrY7buPbZ2ctJr7aSDdRfbbHcl+lqse8W5GT9fEHFauQ4LLNbWc5vl3590EOkzgkTZBFAQJTW9bZ7Fl4ftKIwVBNOJrRQ10mTjBmY7Eq7SC21EsrT0QgeRModGGSzK1GXD7h3QdqdsF+U6TF9kosxNemHC4jIPJrOQFPdCJ3VZzTURCAIgSvIY5XBr8gHoTTLK/xGqEYfrB715ncKIx/EBvWV98WKFpflEggFPO/mspiybF6HPvElxdEfURJlBTRmnBa++pkzfvD3CNVJWGqXxQ3Ro/12J6YuC382jx10D/kYuBVFSoq1i0c+9oqYv5jXRlFEdHr3/HTUGEemUTqB52WDRC7rSmjXN5MNLHzSLSFnSWyp4Q5V1TZmXdPPmGutNQPY8qwoHHTlIMqOPVLZgmYEzwPpuOjISUUSZTSORHrWO3J7wm6HUm3fbzIByIpgAeKtZs7HZ7kX02YvE1RS9xw5dI3Kro5AgWZrGqMEIhzVxpZAomwB64mnkCnIPK6udlapIUL34di+uJEmqqLH15WTphY5uLib6HETKBlK2bfGdpC8C2q6Q3RTMbsUJcoZNowx9jy+rvyGdK6iL9zYHO2dsQo/nzBcjbGetpTbqaFc8FAyohddmKYxapMz5Q7JJ7SPmz0MY0KfElIuUKSk3HhYrLJJVmjaUUOvJ3KcMASgy39G3KmMLLy6RMoM+ZbwjZfr0Rb0o42nGoVni+5e+GPBZ1PiN/oz9bB6d9iFSFtYJo1xBE2W80hdVow/D+4BH+qISKdNFvdl9HAwInv6OaEhrjZEqsdzX0he9RMqUmrIyNV9DHje4rOZq/e+aapwfg20Cmm0y6lMXnczZ1ZGQOk9bRbP61Abb9p9pbbpyAtGinj9fENW/w240rl1dEznbqPYrPbIgSmq0z6rPGuAufdFJMGKui/HZ39octU4TZ+ve4VSurFO0HUiUTQBM+c9srLK1qGbCxO6Xf8BhbvB8h40Gc7r6Mzu7Kiz1byxXKNsEs+z4Nt0LnfT5SmXzao8rVsxrBZvgxnIF0ygQoNWTxcIB1Dtw6GOTdNzC6KPfZQ8x/XvM8uTZ39fssIcYoE9f9DFSVmUu/Fgqjh+W9Wzh5SUlCZAXa2qUyadImZHrnG+RsryoOjAKAt8UunBJ+qLvlvgVmL/o9/kzEZbxQRiHA3pRpjVh5pUCa5TGy7O2stbAfVGfhuxl80YQtP5gpXOROs95qG01q1kDgBE11dybU265574kSZ7SzZt9dHcEtGiZmZswoKVgWtUx6WHnkxcl0/MH5DWdKMn3tt1jsI3qnnjaUvQB+ro4mxvhjWx8e+mR3Q6CEUCx6LO9me8gGMFe0z+asW3rz9buLTHr86mOhNRr7MRPoRQSZROAE2tTwHl3dvbFmV7nMDfYpjVr13AaoiQvyOw4JsXCQTVC02kjvbA3kZHHDwZsCw8nu0Jsgq2OBE3bBeiJhYOq4LAyyuhJsNTFmKMHshYpM3+dl4eMHbMPL6KJRb/i6VzZujXv7ovlhV++IKqLr1oOlvWJkrQerpEsZUGo3wBnlvhOG7Uaoa9HYXCPlLF6oIJYZPLBswGzFqXxMVKm+zgqMFBWbOnvS/No//qU6aOquYKILGezGCP3RZ73gVpTVhQp41cbyuaiVEn9KY9+iVbNqTX3RX9SzROZvPqccJPZwDIzTCNlahTLxfPShptw8THsP9PCuswVK2HDUhenOciOmVYXRUCQo8/lmoPrYWmUtiNxyutGM/lxz0kjmGfBLJvBiJmNVRAEec6x+vzVYzhIwdTb+tsNeLA1crPNr9J8F87jpZAomwBOubRjtxuG1sa3m/rHco/thrk1u3e7Tl/tDtIL1Xqs+qjt8dmukJ2aL329lxvRZCXKmOizG4UrHT9hYfTRN+o+vdDOzqIXIw72Hkkqvzvqtear0cRmWV9s78WKmhl9JMpEyngsttgYOX2kjOP4VQZpW7xNFPSRMtbkk2c9GaCP0vAXBIxKd18U/BZlJZEynp9RMCCo558rSMixSBln98Wi1hAcI2VGNWVcN1fK9DRkc5PdjUUjWCaHXhzpGfbovsieB2VTzRWDjqpw0NW1aFaNPqwjZa117p+XZun4gOY27NjWXzX7MF97sbWZkzVFOBhQ1xR21nY9DtctNdGQmlFip8E2W5vZyd4C5GcL25TvGbEWZaIoOU7BZGtku73W2OtabUTKAC3w0mHTYdMIEmUTwGlVzTutl7IpyhxG4piN60Aya6u7OTuPmQ4aFzPhZy+S5dwkQxWWNiaHHtbjy6EFryrKRs2PoYlKd+NbRcr6E86Lihl+G3GEggF1oi63e+m15ktNLTTYnWMLl0go4El41JYx+hjLsaaz/Iw4MkbpizzG10XKWPrHRNSU8W7urEVpqKasHILPonJ8TRm/pYIgCGoKY05nGMNL3Bv10mMCJMZhc4Ldx/qaL55pyGyuKU2xSma8z0X6Xoulcx2gzaduo3HqBlq59iVsA9BtzRqLlJk8z9gGpKt0fBuROEmS0MccJB0KP73DoxlszeLEzRkA2pV1UaeDzXA3jtF21nUsg8jJ+JqDpPX4/aMZZPMiAoL9VkRO1o1AcU2ZrfGVtbVdsxUjSJRNAJrznz3RxL74dr84bFfEbm5wQ1VYXaTZ2fFwc3Mx4WcvUuZ8AtILV6v8YzeiD9ClMlhFylw0dtaPn8wLRaYJpfR7SMdosnhI6n/X4DK90OwYkiR5Lh6vLbNzDGgLFS+7x4BuBzltHCmr4rDDzkRTtqAtolMcd9jZznNB1PqHpf2sKcvz71EGGDQu5jw+QM2jrRjnvsj5IEzI5wuSWpsYCfE5Rqnlvn7jMcphcyJqEInjGfEuV1PGhJ+XjIBIKKDOZUYOjEyouZ1PVaMPSyMRd88a1X3RRDSpx3CxCWgnEpfI5NXvVqtD4aeKMot1V68LwQRANYmzGj9fENV1hSNRxkSTg7IRN6LPztqXvWZaXdT2M0Id36ZoYnV3LVF7kTJNFDvsaaWDRNkEwESNfTXPBIe9vFp1x8Pm+IIgqFEvWzVfLtLz1PRFWzVlzicg9tpsXrQ24nC56+S0+bJTIw59M0xWOGwE2/lzUxjdpD7ETCJlY95EU1NN+WhcOqcV8rt9ENeVEUz6n3kVZbVljD5U0cQhksUWbEZGH1VcjD606ZzVlWV86lOWyRd0kTLOoqy0cbEvkTLj/64UitwXfWkeXeKAyf0aa60VeBt9RMeJMnHc77ygWe5r46rpixyawGuRsuIsFh6RMkDnwFgiygqipKaDu63PbdAZfRiZTQyrzzK37o7WkawRL+6ONiJxbD0QDUrqRptd2JrC7HkPuEtfBIBWm+P3j+qMRBy02dFEjZ30SOVvcLBZrYk++5v5TnrFaeNbr631wrXB5kc0w8HnUw4SZT4jSZLuy2nvy8NuRLsFlWqo28WX30nNl6NImYP0RXZzOUnPi4QCqojotygK1c7f6a6W/PdaiTK2q+ZkcgPkxVSLjXSJEQ+iyarwGvBe82XWQJqlq4QCgutoEEu5SWXHN1Qd5RQpU2vKxhl98NsBZ4s5vSjjmV6oT/9iC12etTSAcZ+yCKdaIAZLlcsr19qP9LyKd1/UfeRBH2vK2O3GP1I2Pn2RlyjTornyvcXusWiIjyENu1f1kbIkz/RFZa5JlouUeTwGm+tKG0gndemSbudTlvYoScXjMbw68dqpkWa/c2MsxZ7HZpEyVk9W7+JPsHP+gC77xuFGMmvIPZC0tyZqq7Nfxw84Sy902mdN/1o7oslN2Yh2/tbr3v5RuT9sMCCg1ua1dtqWwAgSZT4TT+fVnbo2m6KgNhpCVVB+GtoLE7vJ3XUimpyLmnYXN6/TSBaLTPXbNOJosymKGVpNmfn4g2z3z6EoA7QUC79qvqz6xugtit26I5qlL2o2zmHXCyL97nNpHQSv9EXNfdF4IcTT6EO/Aa6KJg7phYIgFImmvK6WhlcPKJYGqbfE515TVrJI4B2JA86CmjL4e/6lQpW32UpEl77IUm15ifuILgoHaLWJvDYm2L3qW/pimXTtJCcn2BrVPbJ4fDa3hoPue61FQwF1PjBKNx/y3LPSTnNqD89LVdSYNaeWf2d3oa6n2cYmrP73Tjd6mX3+gFUkzmUd/HSd7b4VbLPdyTG09EVr0dTrZl3qItLXWhuxnU3BSoj6RzPqvOMUEmU+w744ch2X/cm0UbkXrUSTKEqu0vOcNF92c3OpgsmGtalb90I2YfVbTHCqfa3Tmi+b6YtsV63ZjShTRZP1zp+bmi+rh5jehcvt7qVZeuFoJlf0GjdEQ0F1wZbIFItLtQbCw/iAsZ08oC1ceOyAVxlEylh6IY9aFwCI6ow49OlV3CNl+WJLfJ4ESwSAn0YWgD/pf35T5L7ow1O8VBjzjpTp0xd5G31Edd9RSZLUTVFeKbzsXsoYWO7zqD0tl76Y4tQzUY3ElUSy9FkHbjfQBEEou8EF6ASTS9MnFonTp8WPP4Z74Wenpoxlf9SG7NUZ6bFjJKL/vdM1hd11l2aH7zA9stZeeqS8LnVhJOKgZk31InCw2e5sfOeir6k6rD4jrXrdlYNEmc84tR1lNEbtRcoGklkURAmC4MwynUXtrASHJEnqa5wYWTBTikQ6b+nw6MZIBNDlT/skmqbZdEry0tul0aIwOl8Q1Yebp/FTOUNDFJa6GAsHXC/c7dR8eU25qS9T88XDJhrQTDhKF0JjHIrrtWPI56i3xOfZ1BbQxF0mX1AFH8DR2U7vvsi5FojhtyAAKr+mzPfm0eOEMd9rrBl98K8pY4siUZJTYLUUYU6RMpa+qNsJ19KEvf8NbK70K1LGNphK57oEpw2uOpMG1aw/mlsnXv25GZV2ZPOimkrq5nnJ6tAGU9myBmJMWFa7+JjsiD5A7yDpNFKmRPosRJPb3qdsjWmVHjmUyqqbdk4Mytga0I6gcbNuZKIsmS1YlgZpZUH2xxcEwVG7JiNIlPmM29S8OmU+sUqd00Ks9h1o2OsB65t3OJVT00Cc3MD1VSH1wWuWCpDJF9RJzq17odmukChKric4FmUaGSvfGDlfENWaL1dGHCaNkQE5/ZXhqtmmck7ZgjjuIQzody7dpZMAuhoFg0mOuRd6fdCX233lVfzOFipjpcX1Wf6RsozOfVFf78KDiEGkLBIKcIsGGdaUcRdlxeP50adM/3kIqDxV5n+fsuJrwDtFVaspk7inweqdRrN5UYuUcXIgjRn1QeN4H7MNoFRZ90WPkbKocc0aE4F1UffNqQFzt1y2iVbn0nI/GNAicXGjSJwSxRIEd7b+bI2QzRs/LwEtElfjRpSpRiLl10TpXEE9ttOSCCaarCJlgy7bBrQorx+0WDeyYERLTcRRWjJbl8oOl+ab+SxgYbcsCJCf43Z7rbl17W6zabZSDhJlPsPUvNN6JibKLMPQCechVsB+mJudf3NNxJGttiAI6g1sFslioiAYEByLDjsTUCKdV4vVnabnsdebNUZmES5BcCeamBgq22xTmTzroiFXDmjVkaC6aDYz4nCbugjYTF/k5Y6YLrOQ4JS+WNobyI+aMj8jZXo78AxnwQdoi+mMvqaMk5U5ozQyxjtKA/hvKe83ftfElUbfeEfjjIw+uNWU6cbJ5kVdTRmv9EVm9KFLX+TYekKrKStelI5m/I2U8UoFr1WfByaW+x6OUW8yPsv8aKgKu9qIqgoH1fmybN9NFikLu09fTOfEcRuADHbccFBw/Nxk67p42lzUqOmRDp/7LBKXzBbKnj+grUudRuLqY9pmvlWKJ8tgcmIkAtgPSPS4FGVOSneMIFHmM27rpeqUG95KbbvJqwX0gsZmmNtFjyzWWNEs1M1uvKZq50YQdvKb2Y5QbTTk+IEZDgbUSbFcTRZLQ2ioCrsSTY0WRhxM9DW4FE2CIJgeYyjlLZ0EKN94GdClL3p1R1R2bxNldnc9py8aNITV/5tLpCzCImXaz3hHyoyMOPiKMvke1fdC42+JXxKl8Tl9sQIDZb6nX45LIeV8jdn3SBZlitEHp2MEA4IqIrMFLVIW5ZUibGD0wbP1hBpR1y2qc7o0T6+p4LVR45oyJnK8bqDVl9lAA/TROO8NsEvdIwF9KYG7zA/987LcRiw7hptIWY1uk7RctExbE0Ucr4nqY2H13jUTNaooc7iuq42G1E0Ps3UdWy+1OCipAeTPn0UTzURTNi+qf4PTgIeWgmlvbe0kEgfoU0hJlE1K3KptNVJmUc/kNjeYufSMZsxrvlQXIIc3F6B3RzQxsdBNQE5psbEjoU5wLnqWAEBjjbkRh7bj5O4hoNWUlduVc//5lB7D6CHDHsT1HkQZSxMpNeEAOKYvltkdHeUk+tjucyYvFqWqaumRHGrKwhMZKSsg50NzZ7Y4l13zJqamrNT4gwf6lMVKTF/UK0keNu+ljHNf9MnoI62733h+j4rSeLnXlBmlL/K7j5mw00ci9JtF1R7nIjVSViYS51eqOa9jsD5rRpGy4ZS2Sep6fFX0GYuyEeVZ7aamTBAEXe/QMhu9LsstAKXNDttwN113yX+b03WLnAFlLZoGk+7FsZphZbKuY59RMCA4No1h41uJJq+Rsj5KX5ycsC9uq0tRZlVQ6dalpz4WUh9cpl9+VdS4F2VmdXFe7OTVaJ+JcB3yKJpU98IyzZeHvPb4qrKIlHkcHyjfgwvQRI23nUv/0xfrykTjeOy8AsWRML0Doy+W+Iooy/liWa8tRrM+iCYWtcqJPtaUBf0VBACKomMV6IhfFB3z4/RLI2O8rwH7zozpojVhjhFd/eZElvP3VDP60KcvKsKPa3Nq/Tykt6v3aolvXFOmGn1wSjUvzWrgdQyzGuZhDz09tfHL16wB3iJlgHUDbLdrutLxzdoGaOsu559Tiw2zD7e9W4vGNxE17HdN1c7TVFtsZomp0T6XbQkofXGSohZUOhQFdtMX3e6qCIJgK4WRdbZ3I2rs5O56EU1sx8Osx5cX0QdYN1/2sqslj2/uvjjMMb3Qr51LM7etUU5GHOWEH6/d3Vg4oC7O9XVlfqYvZny0rM/k9U15+S2o2WJdkrRIgd99ykpNJ3hQnP5XeapMHx3zI1I2Pn2Rd6RMHi+pi9bwFPdR3X2QzfNN41WbwOdFiMqminoMLpEypT2HLjqWzPCbh9gYZS3xObkvGqcvys8zL6Ks3mwTUPmZG5MPdfyq8qIP0LsvOq8pA6x7lQ162AgHtLVCufRLSZJ0osl5WYoWyTIRTRw28+2kR7pZd7XYGF/+jHKujjGN0hcnN24jTawx4VAqi3zBuB8HUJx/7BQWvTP78niLlFkbcahhbhfjs8lnLFcoW9TqJT1Sfp95JMvL5w9oos+qpsxL+qJ5JMu7aNKnFpbaCLNida+7r9VR44UEE1BVHiNZgiCo6YX6xRDbyefRf4gtCvOSvCBN+2BZHzUUZTzTF7XFOROsvOuNSo09/LB8L0pfrDxNVhwp8+H8xxt98K4pk8fTb4DwFPfF/fT4bk7oN1DYxgrPXmhaeqT23GefUw2X5tTG9bM8siYA/SZg8TMtp6vv82LMVGeSXsjD1t9sk1GSJDVF0k36ImBeTgB4z+6x2uiNp/PIe+hNaieS5aV3q730SA/rXhvnP5rJqxF2x+mRNnu5lYNEmY94sWOvDcsPXkkyt0/1tGNQY0M0qZE+9/ayZmF07fydj18XC6kLknIT3KDHmix2Q5b7G7RGlS5r1qrZrlzeUHyPcMiRN41kcUknUfpvFaSi6I88vvedUQCoNhBM+n9XcxBN1Qa9ytIca75Y2hH7iJgo88OyXi/KeLnaAcURlDE1UuZv+qIfzZ0Fn9P//EYf3fPj/Eujh7zNVtgmBOspFQ4KXCN+ER/TePUpiuweVuvWOLgvGhl9qJEyj/MooIuU+WSaxJ4H4/qs6f7tZROQ1ZQZpRfySJdnkTgj0ZfMFlRB4zZ9sd6knADwFmUCtLVCuZo4JphqIkFXz7UWNdJnoyzFk1eAX+teOxlc8mdXFQ463vDVMsQoUjbpiKdzru3YA4L2hbZTsOklTGz65fcwQVjtCAHedjwCOhv9kXKRJjUE7VY0MWFpPH7CY7qE/uGRzIyP9qnjV/ljIczDUr42ooljv9ILyzV3ZjuvXiNlRsfI62q+eOyAq5EyRZRlOKdVAUBE777oh9GHLmKSzk5M+qIvJWUVXlPmd01c6WfOWxgz4c16cfEW9qrRR0FUDW94bU6EggH1O8rqvlRLfC6RsvFGH2M5fhH7mjKW+Cwa51X4lRNl7NkQCwc8Xe96k5oyHsLSbBOTbcJGQgG4vdRWNWvDqoOktzVLWXMyTiUdZus6T5EyGzVrXlI81ZoyG6LSy/lbtQ0oB4kyH2FfHDd27IAmJOx8Od2EutUojQ3R5ObL2WDRgwvgUJNVZR6q9zoBaemLxhMcm7jdippIKICwIC8ajB4yCfUhw8Gy3qDwmsdDLBAQUBsp447IK32RNXcucQpl/+axWKkOFzeQTnOu+WKLwpyyUcPbFQ4oNvrwo6ZMPxYTxLxrvkqjNEEfVEfA55osv5nwPmWcjxEuiZTxjOYCujTenD9pvGx8dg/w7AmoGX2Iajq4uvnEY54rY4nPRJrXY9Soz4JykThvzanNRBOP9EUtEmfQB421qNFl6Tge38LdkR3XbXaMVU0Za/zsxoQD0Gru/FrXNVsYoQDeUjztpC9qwQgXGVy6tgFuzD5IlPnIkAeHG8B6R2IsW1AXpW6OYVXPBOj+Bg+ir5ygATgUtVrVZHlMX2yySMFkE2idh8Ji9vwwTS/0lCPvb00ZoK8rK30Q57iMz1ILy6Uv8hA2VSUNpDOca75K0xc1O3x/XOf8WIwKgtYDikUJOAc5xkVl/Ehf1FN5ksz/mrJxwtin5tHs/uXt7qj26/OhOTUw3hZfTXPmkL7Ixtb3AlT7GXKYK2rKWOKzY3h1mmXzaGmrHR5ZGYBONBmsi3hsMpqJplGPm7CAJmqMnseAFkFzu6ZosBBNXjeqrUSfXLbjziQD0HqymkXivKR4NunW1eX8GrxkcAmCZtNv9jeUg0SZjwy67AXBaFBu/PJNDLXO724mIfXmLdMjy4sDjX78eDpf1PtJj+ei1ipz4ccaTLpNL9QmIPMJ1EufryrlGWgeyXL/oDSzEOZV3F1TxoiDx0MMGC+YAPn7qUbKOFrWj5UstHjVfLEFVa6kpsyrxXXRMQwiZdwt65koyzFRxtnoQyhNX/SjpqyyI2V+91nzO32RRVzZvcY72qqvKWObHzwjxuNEGcfm0fox1PRI1gCbw1zB5rnSuZpX1oFRbS7Ap35Z/36zTUxvRiI23Io51GCXc3dUe4e6/BusHZ2VOnifInEJ3XrPTa29HUHjxYtAH4Es3/aAj6s2ibJJhpd6LEDbMbDj/OdmYWG1o5LMaj1e3OwYFH35/TLisPjyJ9RIlrsJzqzHF4/xAYDpLaNjJHmkL9p5yHgUTeUiWUlu6YvjH/R6UxEuaT0lx0hzTEnSj6NGyjg6tjH0Rh/ZAv+aMkATZezz5x3lKB2OdySu9BiVJ8km3n2Rd7CSfSc1Yc/ZSMQwjZdj+mJYu8/0ES0elviRYED9vFndJjP94DFXsA20dE4s2ixloizmNVIWNq5ZS3AyEmHnX5rKDvBJkTSzxPc7Eif/nE+krNz4CY8byY0W47M1nduyHf35i2U28700pw4FA+r1K5vi6dVV20bpTjlIlPmIl2JBwHrHwG81z0SlGwcaQH4Isi+/0a5NJl9QdwDd5k9bfUZea77qyxQt8xofAKqUfieGOfIcd+b8qikDjEVTrqA5n3lNiSmNYgHFApBH+mLp7rcmmvhEstgDitWUsYUW10hZULcYZRECzvU6zAKffT68F9Tj0hf9iJTp/7sSVVmRKPM3kgjwrykLlUbKOJvFsKiYPn2Rpyhj0edcQeuDBvBpHi0Iwjhb/DTHuagoEmcwn3Kbq8tkTfDaACx1jwQ41ZSZbGKyn3lJxzeLxMk/97bRayUImJjynj1kvi5160jNxKIoAaPZMpEsjw22GywyrAbVPm7e6u4oUjbJ8JqaZ/eL45eaZ+O7vbkA879BPym5nUTNon2iKKk3tdtdJ32UqbQHl/xzbxMcAMRMImVcctjLRPskSeIoytjuqHZN9QLKa3qh0e7rmM5SnocwYOJI7T2U5xspY7v3oiSgIEpcexsxojo7bT+MPvTjsc+Hd6RsotMXK7F5tN+W+OMiZbzdF5XxmKDhLezZxkG+IGpRLK4up5oo0wsbXhs4mtkH/6i9vu7NSJRxS1/MFYqemTwaRwNaTZyRsx3XSJZZpIxDTZnR+Jl8QX3+uI5kWWYPeVtTsDVXMqs9Y/R4FX2xcFD9nhu5akuS5DnDyko0efU60FJInfcqI1HmI14vrNUXR7VOdW0kYu/m9SI4zPKbE7occ7cPZdXow6goN5sHeyZ4TV8siNK4dIlsnk8zTFZTlijZ+csXRPWYPCJlpTtzqWxB/Xz8sKxnqTcBwXtdk1F6JE/nRUCXkqQ6qvGOlGmfgVzroohKrpb18n2UL0g+1pQVO88FOYu+0vIivyNllUixe6Qf45c/Hg+Y8PYrBZb1VcuLEvc+ZfqxsnlRM7wRJG7isrSRfVpNX/Q+FwUCgjonsLrZovpcj8dgzwJJKk4xT3GOxCWzxRul+k1GHs2pjTZiedTFqaLMoE69aKPa5THY+GO5QlGvO4bXOvh6i7IUbXz3n5FZNC6T16LTDW7bBtiM9nntb1uuVZMZJMp8RLVP9Zia51cYWn/zljolAdpODo+by+jm5VGPZWb0wY4ZCQVcP8xqIkF1gTJaImr0kScvk3Q590V93zIv6RLs3FLZQlENAUv/CAg8bJDHizL9Q95rilW1zuiDPSh57ewy2A6y1nuIXx0HUCzK9DVfPF3hwrr+TL7VlCkiLJPzJ1I23vmP6/AASo0++I/vN/pz9kO0+n0NmDmMFinzJ8U2V5C0NF6uooylR2oRb44Bb3WDaHwqNae5qHT8vKj2VPVaU8ayJoDyzwNP4yvPM7FE9Olr5Lw8j9kGpT6bgcHHeEseP1sSZQX4bFTXRTW7fiPREfe47goGBNUYzGj8BAdHarOAATt/QYDaiscpVnV3TDC7XruT0cfkhFeYuGwky+OuUF00pAoOc9HEIVJmICx51GPpHR7Lje/WxQiQF29sgi89hppfHgmqiwA3lEtfZKmXkVDA08Jd/5DUR/v09WreRVP59EWejZ31D+I0x/GB8pEyXjVfoaCWZpnJF3xdLOojZX4bffBeUJcKAn9qpnT/XYFxM7+NSvy+BkzYZ/2KlKn3gaiLlPE7BmvSntPt2oc4/glsg2hMFU2Fop97paqMe6T+d24JBgT1eaV/HrDMCe+p7Nr79XVliYy2WPcSjSsaP2v8zPck+iKaaCpNYdQ22vn0DU1mxm+2a+su72YoxqLMe4aV2dqXCabaaMh1WrW1g6Q34WplomcGiTIfYZOE2y+nVYjVa6QsEBB0tvh+iabydWs86rFUK3aTol8vk4/+/aWiidf4VUF5d680EsfLrj4WDqgPAf1DkpdFMWBs9MGzh1iRsFTGVd3COKcXsgUQT8ez8cfwx7JeraUR9UYf/tTrpH2KlPnduBgoFjKcNeWEIAj+qjK/r0FA0DYnjI7nFZZimxMlX/qURQyMRHj66Wi9vvgbfejHYeOyuTQcFLhs4hilm6c4PQ+CAUEVTvrnjf555mUTQT9+ad0aj7q4gC7SVJrCyGtNwaJ9pWsK+RjehZ9ZWQpbl/LYbDeLxHkSfX7X3allNVRTNqlIeMytbahWnAvLqG2ekSajY8Q5jm+248Gjp4jZ5OO1R1a5mixe42uRMuPGy17rvQRBQDV7iGXGPySrOYoyo5ovrzUEQMnuqzKulr7IK72w2OiDd6QM0ARYxierbiaQcr7WlBX3KeNtAuF342Kg8iNlRe6RfvQpKxVlPhl9+FVTFtJFynJ5/mm8eqMPNWLMM1JWkl7Is3m0fvxMyVzKS/Sx502RWy7H54HRJqBaT8bheVYTNe7lxssYq1zvUK+phQy2WW3kuKyJJu+RLOMMK+8ZSnYicX6tewuipGYReW0bUK6/rRkkynzE65e/IWav5svTzcUUvaE7ovfxWe61USSLx/nXmkw+PMLoQHlLeV4TKNPs40UfS4/0/pCpUtMLdUYcHI0yqg3G513zVSr8eKZHAgYLIR8jZVl9HzGOkaywPlIm+lNTFi4xCfC7T5k/RhaVXVOmP38fNKvv1yA4LgWWd/oiuw80ow+emxN6ow8/ImUR3fiArjk1pw2iUndHXiYcDEPjJ57PGwPRxFL1+GwyGqf/8bL1Z2uGVMn4ahTIpRhglFsX6c1QvHgFmPVai3P4G0w383lEykzG139mrtsSsEhcGed0M0iU+YQkSZ4Vfa1lzRcPu3SzHRXv49sRTZ7G151/aaNBfpEyf9MXo8pdWHZXzuP5A9rO31jOoOaLa+Pl8ePz2n0d50jG232x1BJftaHmGCnzualt2GeDA0BbQLOiet4L6nGpc75HyiqPovP3I33R52gli2Sx7xDvPmVaxFh3n3FNX9QMddj4PP8EtQm8Mjabk7hFypipUa54ruM1l1aZueVyEH5so1IvatK+ROJKNko5GH3oxy9Xs+Z1zVJbpqwjmS2ohi48ykZGTWvW/Ilk8RzfLD0yEgq4fvablQVZQaLMJ9I5EXnl2++l5ss0DM1hR8JcNHnfkahlgsanmi99GkGqJJrII/1Sf4zx7oh8UhkiwWI3wdLxeaRjsIetfudPTVnhaMRhGCnjFsmSx8kW/Em50dd7Afwdz0qPwUQTz1oXtrgtWoz61KdMPWZFNo/WR8oqT5YV9ynzt48b4F9NmTq+T+6LxYY3HCPSLH0xL/kkyjQjEUAXKePc/oONy3sDrdqgr2SKY+aEkajhVbNWNH65SJnXXmuqI3Jp9g3nNUtpdo8iEsJBwVPPO7MMKB4ZVuy9putSvyJxY97TL9n5lzpe24FEmU+wL04wIHjauanzOdJkJvq4RLLY+AaNErWby/340VBAXRSW1pXxSI+U31+mzxennb+IchemsqWpDEr6ol9GHOruqPdpoMbn9EhAV4+lFqeLXMePltRZaM2j+UXK1MWQrrkz37Qqvfsif8t9QDNRYPCOopQu2H1p7uxzpMlvfI+UlVxT7u6LAX+FvdanTHNH5HmfaZGyArJKzZov6YuFiTH68C99UZc5wXGTrtqggTTPmjX2zNVnlgD8asqMNkkBIJXhU7JQzuhDX9Lh5Z6utZFh5Wkz36zshaMXQemaTv4ZDwM67Tto9BmZQaLMJ5gg8OoEpIomn748tWbje3SP1I/vlzWrIAi6CaJceiGv9MXiz2iM04OMvb1014zX+IDxQ4ZvTVn59EXuoilf7BjGLRJXzuiDY6RMTS/MS770EVNd54qswP3pU1Z6TF6URmX8qZnSR5oqD78jfaWfeaWlqBb1KfPhPtOMPrRIWUhwtiNuZ3y1pkzdIOJl9GFsic9rLlXrf3P+bNIZRcr8SMfXr1sKoqSKV68bpeUiZUn1me9P+iKvkg5z12vvx6iNWkfKeAQLStNH5fG9rxujoaB6D5MomyRwC0OX2ZHI5kV1l4uLe+EE1HyVEudgzQroUzCNd5287mppD5jS9EU+EyirKRsrSb/k2ufLYGdOTSfhYiRilL6o7O7y6iNWYlmv1Xz501A1zbk3EFBixOFjTVle9K9PWel4vBfUpRrDl5qyouNVnizT62BfjFDGpZDyHb/0mk5MnzIfmkfn/akpi5aIsgzvSFlIi9gD/E2ZDJ8HHFMkVVGjrynj+DfUmPTdlH/Pp6asNDtmLMuyY7yNX64sJcHJqMRM1PBY+9aYpkd6j8SZisoMnwyrcsLYChJlPsHL+a/8zZUb9xqe4wN8rFO1eix/Cjb1xyiN9qU4pUuUnUAVkcYrUqbfdZXH5/iQYZEyw/RF7+OXpsPwHh8Yb8TBFiy80gvZONmS8Xmm/7G0qqxftS66xWi+wNKq/I1y+D0+b8t9oFjI+BGJ8xu/I33jo5UVFiljRh++9Slj9a265tEcV1NhXR80gH/PRHW+9qnno9Ezk2eKZJVZTRnP8Q1qsAHvG4FapKykjpzTmqVcWQr7vLymR7L3l26EF0S9u6M/XgdcXLuVNWeuIKn3ljo+h/RIoLwXgRUkynyCRwM9wHrHoyYSVFM13FAuPZKHe6T+vclsAZJUnN6hGWXwEq7Fwk9NNfA4ARnt+un/7VmU6S6fXzVZRg8xLcff+zTAHub6CY6/O2JxTVmGs2gqNfpQa7J8cUcUfVks6tO28qKyWPTJ2Y7hd2qbHzVlfhtl+I3+jP3+fAD/mjtr//YnfVHuU+aH0Yci+nyKlI1LX+TcM1Ft/5Evnkt5jV9l9jzg4r5oViPNM93f+HnmNbqupUcalyz4VVPGa82irRuL11w87OT14xu3UuIQidN9vqWlNTzKggBzYWkGiTKf4NaZvcyF5W1iUTq+3j2Sx81VEKWiKAqgCQSvE0RtOSMOZXxekbLx7oh80hdDAW1RUhTJ4lkYHR7/N/AUTaWCRn8sXnUKWk2ZPC7vSFapsMz6GsmSVIMAf5pHi5rduM/uiPyNPor/zdv5DyhNX+Q+vO/oF4X+pC+W/Jt7pKz037xTbNl9IKnPMS+bl6XojThYbShXUaaLxOn/n/dcx54BvOfSSMkGmrwJJX9OfDMz/LXE14sCXyz9x0XK+KxZ6sqkF7KSDq+93Mp5BbA1VyggeBL4tvrPeojEBQOC+j0sZ4biV1sCK0iU+QQPZ0HA2kXHr0ic/mb2smtTHQ6qi4ZEmUiWZ1FW5svPa/wq1d63ZFeLU/oiUCaSxTGlpNogXYLn+PoaCNYvjndKzLj0Rc7uhexvYJsH6g67L5Esf2rK2GIoL2qLUd4L3lKRxL95dKnzH9fhlUF9GHMC0X/k/7+9Lw+yo7yuP/22mdGK0BixqlBYbLDMYsmOJbBBxBIwgqC4QopyFYEUIWUbTBzZjg1JDDghuAw2lSI/CLFTiBS2capcGAMCNGbHIBBCAiEZZEAwgCQD2kazvbV/f7z3dX+9PEmjd0+/6dE9VSrmidHtfr18313OPZfxVSIKmMKeQviZFK+UWYI3jOSEL/RBGh5traeuK091bhaUifXnNpn5aB+7FXgJtHI0CSjSsxYTNElK+neRK2UTm1DnjGL0hBa/QzOtAOlK3Ei5hko1lMwXmhXXjOLZL1VQaeK77w0alJEgJZ3aNGgy0qlCKkCRl6voL0Ct9HRkMg4mFaIPp+u6lrpgq+qIe1sgZIQ+IlmtomBmLqaSJSn5HqtWJVjJsjdCEyzJ95QFq3GlRkVLjL4YEvrgCHEYqW5OT1kSlTJ2P1Aiw6PBrTSxEayUyX+ByD0gS+JnpSm2VkW6Qhhy7lXKrHmDORJ9sVpzYZj/rARUUXotDYkymb0m48gEfh0hoRLAGlEjksSMqZQJ7pdGyCIs7iVVKWvmNxq/rlW/0ZOsj1TiZHwuW+hkMNI2YpLhnO/g+9Yy9yBuRu+eoEEZCVIBQbOXy7zMYio9kYyKXBXIZAzsUnep6tMjJ7T4HSY0aTqVytrEyfsCEAsqgfi+tRFJ+mIhSveQDJrsjdZkL/0eAuGNnkW5sZQL69lp+Z6ynO3MUeaU+UNzjdAHe46YdM9aEnPK7EtCmYNGRqBSRhkZEP7MpcBKJw68mYaW0y55jLxHX7SGR4vOKbPVHf1ebKkEUYSqLTzLLZxAGxbsxwKAjhj6ouwctJj9WFRyP57d41XKWvaJ4lsupMTPmvV8eQFTi+ffkct6z2IzBpRUNTGazJcteCh9cYzAf3CkGirj5dgNtW5/sdcqU4svF2CV0i36or1YtFpKjws4ADuj0iJ9sZnQR1lmAQL8hZ415ysskgHIbjK5rD/EOyyzLCUp3+E5EkH6ohTlxu45KVddipR2waqUUeaUefaZlbLwZ9ltJNqzJmoeAH/4MhuBSh+BwBilL6ZLLMa8y3Yfs2ilzNAXK6SeMoseWbLoW9I9Xybgk+5ZM2t1KRyUic2UjPYwM4Im1n7ctKfMVJpa9Ou69uITSfmlYfVCSYVNE5javmnNmhUnVU1ktb3sadzUnqBBGQlSIhPNgybZEutQqeo5cYBVhm5xcQDiA0tTki5kMy03YHfGBDSu63qLaOv0xaicPGCX6uUyc3GS9TI9X8GAJmBfeo5YORQ0Cck4h7Ov5jhS2d1CICjjqCMG1BcZPWsZ39kqN9QXpR1quiR+ApUydlDDBjuoTJqiKq++GEwQ1Y8h/x4HJPEZ9EXLPiB3nWz6JWCrL8qupV6lTLDfy7YTy/wQpOOPxPWsSez3MdS5Ws3yWVr06/wkb7NKmYwkPhD066QYYkB8Jct+n1ksMekB3iqJP0YgTV9kRfN2idZ++KWCSsCvhI0ElPnkqkw+vdDOmtU8Hr4UfXGoVAnI+nv3QCBwjR++LBf0dYb6pWz7Yj1f3n0OU2Kke8qC6ohSQZPd21UhzREzThXLvh1Y+vOTuPRCtvoiJShLeaXMRiJCH8IHiVbKhNUXM1FmgGylzKYXMuiLfhLNpjlL9Q/aQSUgTwX3lHIb+w1rfIkdNEkKccT1rPmVsta/g+dTFKP27f+/v+jyfKJqyGeRqZRlM46lUOmft5SiNhDv+9rHapWB04y+OCz0HZS+OMYgVcma2KRZ0F+AWgsIOnIZb7OyHfYhIW4zYC0QMYMeW6UuAv4ibNu3M1CtLtLm/Guuv7lIZrUAK7NFyvzFVcpGBIVEAItSUiZt9OY7kOxnM47noJeqNZQrCc0pI9AXAf/+pq3KwZbcB/iS8kmCMVyb3dfH7inzKmXWeip5DFN1swV7co67p38yKthCH5TkTWgOGm2tDtsX74mLoS8KVsri1B1FqkCmpyzGJ3Kc1gMOe0+3r5EU9Q+wAstyVAyl1X4vID6osRPVra57vn2OFsHkJkHf3qBBGQlSWZvmDZsyQZ/jOLGlbqmgD7CDMiujYqh/LTZTBuw3qQK1+vLagaOxK5nVAvzM1XCcOqLoHLFo0Cdx/oDd80XKjuaDlBjpjd5xHC/DHpCsZ9EXiT1lgJ+llqRtAfx+oyQk8QOVsrTTFwn22XPK2D1l+VBQ5jiyz6l5z6o1v+dLUhI/HxD6YKxDvkorwBsvEg76pOiRftDEYX505pvvlxIUTL/nyx8h47GTBHwW+xxtv25QMGiKo3hKBn1+JYtViWuiICml2t0RbavZF2hQRoKU9Ggz5T/Jhz8uaJIK+oBmVSDBGV8xcvKSL28um/E2K/MdJLNaQJS+aPfEifSU7YkjLyxZP1LmbvSsoA8IOisMoQ/jzJVrHCGRvOVNG+pN2ipl4Z4yjiS+9XP6YrIgjY3RU0a+B/RnKBOk57HmoNUrZWShD8KQeds+wKiUxVPNWxkobCOWjk/owQ7sl4JCH3EjZCT7sbIZx7uXwWQ11++SokcC1pigGAYXq2etfgwhgbiY67Mv0KCMBFPSbTVo6oypYgGyZeKuPT78cmXukZhKmeQgxrhKnwS10D6GWdQkK3HGjm3XphzI0BeDm6Trup7TLibE0UxmmUWJYQhxWKpkzJ6voJCInP1MxvH6f4yzKC1ZzxaBYFdpwkhhTBYAo9IX7l2Sjosjz5D0M+qY5ApnLISxV6m6nmCP5FfwKk0kmnNY6EO6klXw9ptk6JEApwc7UCnzEuGtf4dO6zqMeIleuYDJthPHUJJM5se1vbQqJBKwHxP0sfzSas31AnHJvr7R4IAJyjZu3IgLLrgA3d3dmDJlCk477TQ8/vjjgd/p6+vD+eefj4kTJ6K7uxtXXXUVSqXSfh1PSpnPZATMEEkDqSGDQLOMh1xGIi7o8+dxtG4/dgaXoAiHfQxzXUxAI11lCqtVAcEFfH/RGaL+lav+QNIOcSEOzkYfUXcUtg/Y6oU1cXokEBxq6w2dFaYX0oMmutAHX30xSfsM2GdMKCQG7qnjyA+oDleu5PsSw8cTFhLx6ItWTxlB6KNUqVGST3RJ/GY9ZWL0xWClrGYxD2SGU9fPv1x1Pb9LeoSM38sfrpQJJZJj/Dp/vq0cfTGYzJerlMXbl7tGsX6p9XOr16iZAubecMAEZYsXL0alUsFjjz2G1atX45RTTsF5552HrVu3AgCq1SoWL16MwcFBPPPMM7jnnnvwq1/9Ct/85jf363hSA+7sBSDu4RSplMVE9JIZibhqn6S6Y5x90xwqNRclXI0zgYFEwAREM4vmXkiMDABsOkaQTmIfu/VjBDdK6Y2+EKbECKs71m359EVGz5fdU2aGp7OHL9PnlAk77OEgjxF0pF19kX3+9jWXvr9AXCWOQy80oFXKrJ4yBn2xVLFGZwgeIB+SrPfHi0j1F4fVF/39TAJeP1OINQHI7DedFntkJNSyIFEFAuxZa0GfokMo0RsXdHh+kajAWlyljBM0+X4pKahsXB/HaT24bzYrbm84IIKyjz76CG+88Qa++93v4qSTTsJxxx2HH/zgBxgaGsL69esBACtWrMCGDRtw991349RTT8UXv/hF/OhHP8JPfvIT9Pf3j+p4tjJf6/RF/xbFcXclMwZDceqIAg9/XF+cNwtCcnGIyXiwqAA+9U94EzODlz1+vLxIhuu6gdk3ctlLPztarfkZRrmesmTpiyVqg72LmmuGO8suw2wRhbCTLl1FYVfiwkij0IcN9vBohrojv2ct+JnWU1Z1USH0lOXIva12cghgVMqCPX0sSfxqzUWlWgvQGCWOYfe+hROlYmrFoT5vj30jdI38RHLdr6vWXO+7SFTK9tT2ImK/QRONZ3CxtBT8Yker+5phaY22p0wm5B/jmD59Ok444QT87//+Lz796U+jo6MDd9xxB2bMmIE5c+YAAJ577jnMnj0bhx9+uPfvzj77bBSLRaxevRoLFiyI2C0WiygWi95nE7z1D414f1dwXJTL5VGdr/l989+ufAbD5Rp2D4/goM6G4EQjoi9kR28/jM58/eEbHCl5tgZG6v/tyKJl++b9GSpWLPulxrEzLdvPZ+qb4nCp6tkabNjvyDkt2wf8hXKgcY2M/UK2Nfvm35q2opFS/RrtHqo/V535rMj5Z936Yuy6wNBIyTv/bMZBrVpBbXTrRiwKGf85Ghz23wvHrcp8B6exeZWrGCmWvKBPyj7gO2/DxZLnsDg1OftOIxArVapepcytVcTsA1En2hU8/7rBoPR3tVpBuSznMFatrDcA1KoVlMuyTnWt5h+jUilD8vIYhNdxSVQqfgLNdWvix3CtBSHjyH+HajWkSCb8HWrV4IKWzcjsAwbm+lRqNZQbxxK9Tp59FyPFxh4h+B0yMGyD+tpgKlpZyNyHLPxgrFQqYaQRGOQyMtfI2AeA3cPFQDWivl7X4v7ZqJDPOihXXQwMFzG54Pg+V8YVebdN8DgwXES53Imhhs/Vqk9h4Pksw3WfxRa0yAnc545c1G8cNN9B4D4bf2KoWPZs7R5u+I05Cb+x/t/hkr//7mr47l2WX7q/9zrX8FeGytVRtUEdEEGZ4zjo7e3FBRdcgMmTJyOTyWDGjBl4+OGHcdBBBwEAtm7dihkzZgT+3bRp01AoFDyKYxg33ngjrr/++sjfP9z7GIApcODisd5H9pte0tvbCwDIuFkADh559AkcPqH+/7b11/9uzQsr8dGG/bNvsPOjDIAMVq9dh4l/fAUA8M779b/7w2vrsXz7qy3Z/8MHDoAs3nl/C5Yvfx8AsGFT3f6WvrexfPlbLdkfqgBADpWai/sfWI5sBnhpa/2YOz78AMuXL2/JPgD076yf7wsvvoTaOy5e3VG3PzywW8T+mxtfA5BFX+MabdoNADlUSyMi9usJsvrrfv/yhzHYuGZZ1ETsA8CHf6xfo1de3YCJH673jvdY7wqRwarvNK5J/8Ag7n/wIc/+E4/9Fp1CDMbhwfp79fSzz8N1sw37j2JiXsb+6x/Wn5stH3wI161flMcflbMPALVK/TsYPPHYY5hSkLP/xnv172Dw2G9/K3r+9ZjP35p6e3vF7q/BO+/Un1UA+G1vLzqJO6FZxyWxqwSYa/TGG29geXGjqP2dRd++W62KrREG20Z8+wCwYf16LN/W2j5j46OQ/VJRZh0N2x8plfHRth0AHGQduXu9o3H9i+UKnn9xNYAsBnbtFPsO5v4WK/V7u3uovmY8/9zv8N7E1u2bPdl1gfsffAivvl9fM7Zufg/Ll/e1bN9eIx58eAXKjf0t57h46KGHWrYPAFlkUYaDR377GA7pAjZ/UL9G69e9jPzmemKqlftdLdbtPfnM7/DeFGD1H+vXaOe2D0Xu88Cu+hq38sWXUH3HxUAZMNfs0d5HWqaFf7ilbv/l9b/H8l11J9Rco9+vW4vc+2tasr9pc/16vPnOu1i+/B0AwMvv1v/uoz++j+XL323J/sZddVsfbN/lXe+3+gEgB7dSjNyD0d7rkWrDlgssf2Tf/22qg7LrrrsuNiiysWrVKsyZMwdf+9rXcMghh+Dpp59GV1cXfvrTn+K8887DqlWrcNhhhwGIp+G4rtu0jHn11Vdj6dKl3uf+/n4cddRR+MxppwO/fwVdhRwWLz571N+rXC6jt7cXCxcuRD6fxw9//xQGd47gM587DScfORUA8C9rHgNQwcIFZ+BPPtbaKvrkyKtYs20zZh33CfR8YRYA4O4tq4CdOzBv7qk4d/ahLdnHuq34+ZuvYPJB09HT8xkAwLP3bQC2vodPfuI49Cw4piXzpUoNV6/6LQDgjD9biCldeWx+5m1g00YcfdQR6On5VGvnD+DX21/Cxl0f4YTZJ6FnzhFwXt0KvPYKDumehp6ez+63XXOvTz1pNn751u9x0PSPoadnDla+tR149UUcNGUSenpOa/n8XdfFN5+vLwxnnPVn2DlUBtY8i66OPHp6Rv+MxmHlbzbghQ/fw9HHHo8vzD0SWPUkHAc4b/G5IhS3DVv68eNXVyJf6MSCL84HXqgL9Zx37jlitJif9q3E5qF+fPLkU4HX6gmKnnMWidAxAKCy9j3c/cYGTJx8ELCrXlk/5+yFmNwpF9V8/5UnMFjxM3OLFn4RB0+Ui8r6nnwLy999w/t89qL6OyeJb6xc4f18ztmLRGjUNp6/fwN+98f3AACLzl6ESUL310Z4HZfEH/tH8L3VTwEAjj/uWPScdayo/Q92F3HtS08CAPJ5uTXCYMuuEXx/zVPe5099ajZ6PnOUmP33dw7jX9c87X2eNHECeno+L27fyWQxZeokYKAfGQdi9/rD3UVc99KTqMHB7JNOATauw4yPTUdPz9zWTx7A9sESrn3pCdRcB+eccy7+Zc3jQLmCPzuzdX8CqPeSXb3qUQDAgi8uwh+e3gS8twnHzjoaPT2faNk+APzji79FqVLD589YUKdJvvQ7dBbkntV/XfcERgZK+Nxpn8cnDp2Mn7yzEtjdj3mfnYvT/+Sglt/t2zc9hw+27sYpcz+Lzx/bjQ+eewd463XMPOJw9PSc1PL5P7BzLV7f9QGOP7H+bm3eOQy8+DQKuQzOW9zTsv01y1/Dsx/0YeasY9Gz8DgAwG1vPQsMDODz8z6L+cdMb8n+rlXv4tfv/B4Hf+xQ9PScAgBY98hG4L238YljZqHn3I+3ZP+wd3fi/214AblOf214+g8fAetfQvdBU9DTMw/A/q/jlWoN33mh7pee9oUz9/nfpToou/LKK3HRRRft8XeOPvpoPPbYY3jggQewY8cOTJkyBQBw2223obe3F3fddRe++93v4tBDD8Xzzz8f+Lc7duxAuVyOVNAMOjo60NHREfn7Sq3ugE4o5FpaoPP5PPL5vNdYWqrBs2d4vFMmdrS8CUxqOISlqhuxP7lLwH5X3SEcqdQ8W0ZEYWJnvmX7uZyLbMap88uRQT6fh6GYd3W0dg8MzD2ouvV7UHEd7+8l7E/oCN6DaqPS0ZHLijl0HblMvd8LGdScehBTELTfVWjc2xpQa1QhCtkMCgWZgKCro9Cw73rnDwATOgtifU0F07dmsZ8mdHaI9ZV1Nq7RSMWnAHZ2FJAXUgkFov05dftyQUH4XAuF1t/hPaGQLyAv1MdhkLH6+Ar5vOj1D8Os45Io5P0HNJuVe4cN8vkgfZF5/gCQz8msowYdhSA9Mp/NiNrvLDTohVUXja0MGcjd686OBrXZBcxSUcjL3ecJnf7Pbibr9X5N6JRZK3I5/32qORl/PxbaL4E6ha1UqaGCDGrefil3n01fWcV1kM/nPZ9lgrWetnK/TU9Z1TU+S8OnEPJZJjQSTaUqGj5FvaVA6hpNbPiNRctvND1rk7paf44mdUb9xmLjZZgk4DdO7qr77iNl336p8ZxOirkHo73X+Xzd/ylVa6i4++4/pDoo6+7uRnd3915/b2hoCEBwIzafTW/BvHnzcMMNN2DLli1e5WzFihXo6Ojw+s72Fax5E56qXcVXhpOQfI9r2PTUBQXniNkNj0VPzrx1+47joCufxUCx4qsjCtq37XhqVcL22XNdgPq9LFZqGClz5N49mWWSjLPdnG7L4UsKTRghDlvJU1L1zARMdmO6tMgBW248LNJAnyNG1uFIo/qire3BuP62eAhD6CM6i07WPnsshDfaouYLfUgewlZkNWsRY60GouupBBynPry4VKnRZP0781n0j1QwUq7CtIjK2jdqwkExFKm5nmFZfyPyJXUPms0+FRvgHVJ0lj5GVz5q3/zcKShwNxJQp5RTjzR2SsM1DFeqe//lBg4I9cV58+Zh2rRpuOSSS/Dyyy9j48aN+Pa3v41NmzZh8eLFAIBFixbhxBNPxMUXX4w1a9bg0Ucfxbe+9S1cfvnlXnVtXzFSri/S0io9w6WgSg8AdAoMMowbviw5WDg26BNegDojC5Cs/fAMLtMYLTZ4OefPpQE4yoL2AGnGjK+8rRhGmSEWtS95fQA/8DNzAPNZRzToM9+hZL3D0uqLYSdafrjzOAvKUq++KA+y4CV9Fl04cSCvvujbM4JAkofIW2uC2ZdFVWAt+8PlKswIVM5+w9kPbEVhT3JfOOgDfF9IOpHZGQoKTPAnFjTlg4nkEWFF5z0n2wXGEsSodpsRCJ0SQZ9l322IV5l7LeW7e4HfKBQYD4igrLu7Gw8//DAGBgZw1llnYe7cuXjmmWdw33334eSTTwZQp4A8+OCD6OzsxGmnnYa/+qu/wpIlS3DzzTeP+njFiuzDPyEkbVq0lIUkFog9VcokXi7TD2K/vCOClTggKsE7Ijzzwx9cHM46SQd9wQ2AtYkxK1mlqsutxFVlB4XaMN/BDH+XlKEGgGzGv0YG0g4wv1IW/Jz2oCmNlTL7mjDOX3rMQRjsaiu7UmbbM85uxnGb/XpL9ocJlbJMxvHWhYERn+rJSgJKS+IDFnOiwmF++Hs+V9bfZ98Ij8EJz0ET9ini5nz5gR9nDppkMtyjj9Zcj3kmPisuJrDcG1JNXxwN5s6di0ceeWSPvzNz5kw88MADLR+rJFwmDpdZ7SqQxOYZN+SOUYZmVsqaDauUsx9PX5QOKs2iwNhkTHapWOZUmgL0QkLQZ5yIas31rpN00BSmL0rbz3n0xYYEdUa2EgfwK2VshzcMpS9GERwezaAvchGplAmnh8PPJGtOGeDvBZJzymzKtNk3JWnUQH1trpSqAal0yf3GD5pISTpvv3FRrslSCwG70uSPDwDk53qORBK9wj4FqeXC9+v8IoFk4Of7vXH25fxSoP6OFRo993X7whTSUYxoOCAqZUmjKEj9A+zhzpyMR9g+IFvqtis0Bt53EKb/RRcgGftmAwhTAVj0SAp90XDYLfqi7Cbc6LMg0Qtt+o5xVHLCjkqucT2Gy2aujnTAVP+v58iRB/MmEfTR6YtU6+OAvkiplFk/y5uHE1oW2JUy6b44e90xa53kIRzH8b4DK0Fk7JmgLOP4658EvAHYtZpVZZIT7InrMWZUyrxe/qrsMcJ7/ohwS4TZe0sh+9L0RUPNq1Rr3uxQkaApjr4o+B3yWf8d8ymkwn19MRTPvUGDMgKkucHhni/JErFtxzw4ruuKZiTMA16tuahUTU+WHDfYPkZ0AZLOOpGyWvmgfUZQ02FXyqhCHC4nKMtEg7K8cIrdbLjmXRAP+jLB51Q66AOCDik76AOS7z+SRiorZYGfCZWylNMXw/aYYjemD4UlVmL2MunvYNZmf63jBH084adGfy4pCWj3ZAV9ItlKWbglolMs0csVJ/OS+Y0E5oiVdBfVIiALxNnHkGZA+dW+yl5+04cGZQSUhCtl4YZN+SpTsB/L/FfqGPZC6fV8CV+jsHqheM+XR48M8r/lKmXx95hRySpX7cwlo6esRj1/wM/OSQcd5hgmsSItwmHO1zTWU4ImOygjONfhqgPbgWcHTeygj4Ekr7lcp5QPutBHAmI3xmSZoL4IAPkQ1Vk6aDJrs1eJk15LG2tnpeaKU/+AJpUywUqc3VJQqbmNgdUE+mIlmKgW64MPJXrlxclCPpFV0RIR+rCEVowQB7svjiZAp/TF9oItAlEUrsSZRcCvMllBmcB3sB1z/wVm8adD10isUhYKmoSFSmyqgeuSKk1Zs0ly6B4B9cWq7P0FDBWv/rNPX+Rkd439tMnVA8Fzpti3HGh2lQxIIAChWueDQl+UNxkAXRI/UimTd3XCa49wUd2z7yeIuJUy8QRXLqaSRRF+qolTCwEr6LP2S/u4rSJMj5QOCMy18Pw6QeVCwA/uzLW3E70Sa7ahKLpunBiKFAstuN9Ls9zMNSqrJH57UWxI4jMcdoD38oYffMeRWeRy2YwlcMCtNIWvkRwVIBj0jZAC7/oxOHQPrzG6Qg76SPRFx3G87OswidITDsrEe8qccAZffgkOVMqkPcWw/SSiMgLY6oVsOE1+FrNvXRSG/fB7wOh7tE0yntPw2iD9Jhv7I+QEkWGtyIsaWfsBQS03bj8THfGSi9q3j9sqfPoiJ9Eb7uWXrpQVsuFkPsenA6LJcGk9hZHQKCVpBUybfbY3aFBGAJvaJi4nHylz+w++1GYZCWpIkvjhayRPBWAtcKGgjBDU5GwOPlUSnzlHLEQvFA46fPsprpRZ7yzDvk1fZFexkkAavwOf0sm2z+9LZL8HETER8UoZt6cs3LMmvdYVLHqh8Sl4dHl5eqR9/ma/zGYcMXaGVymrcCpldg953b6w+FmTlhEpn85uVyiGr5F020uVc418iue+k8A1KCOgKEzdajbPQv7B4TSEAlF6Hm+4c9ILnNwCZHyIwHBnBh2DNNzZpi+WCXQSwKb0cByVsP00ysknKfSR0kIZXEqnVHKgz26z7HN6yoKf0/gehCtL4vTFTHDfl66q50IJLvFKWQydnaHGy1JfjBUSIag7httGpHwKnwEV7CnjMbhkfQrHcSLXSL7tJb5aKd32Ylda9wYNyggoCkuPetxd0hBA78HxBi/LBjT2MYqVetOsEToQVy8kZYWaBX1S99hegFhzxApx9ELJTczaJE1QJj1bx6MXGsUwaUel4byVPEdIOCgLXQ/pSh8QPGeGiIX9yKRRJGO8gS2Jz4DjBOmFnOfUqpSR3zOAIPQRrpSRlGBZCShbjbfM7mEWFj+r2/cDAurwa69KIyzEEWb3kHwiFn0RiJH1F/a7Cla1FSAWPKraU9ZWSFdRoj1fJOpfmWMfCFIk7Xll0nPKwk2ncteIKy8bPgadXsiwb/UQVBpRt3R2NzzcWdpRMY6Jub9MKW37eKLHIAdlGYdrPwmkfTaZffr8qhkH9rvAeIyy5Oc00lMmLVbi0Qs5CaJcyD6LCl6u1rz9QPIY9vDoIoGZUYirxFH246CyoNyYoHCfvbBfavVL2SMDRP1G6xjVmuspnYp/B7KAW1krZe2FNDWsI9IQyqP+MaiFgBVYlmteRkXyGGF+s3jTaT7+5ZWdI+bfB0YlKxeTWWTNjTFDJNMmxGEcOVqlLGH1RXbQl9KYLPUIStbLEwyTuK/s4N6uSrPfA4BRKQvuabSesgpnLfWFn6ygTDBJZ1eymEETTd0x5LAbn0XqOzTzicSqTCFxMmm/FAj6jTYFUN5vZLW9BO/BvkCDMgL8EqvwYORIM6JsRqXm1meK+LxawYDDVMpCM7LEhURCgxjluMHBl4tBz7PpHv41kss62ZuMP0dM0H4MfVGcchMR4pBdwowj5ztCHHqkAcUZJfd8sVXtksB4CiYZlbIkKqD2q8V/D1LYU2bWIjK90O/P5fT/lqouKoT9IH5OmXxAUK66pIDDT5Ka40geI6pFwGFwAXXfdETYPmCNa7LEXOrHYFEwST1rGpS1FzyVG9IQQMtOnT9tFiACNa/sZ1Sk5Orr9oOldPOSyUnim5erfu4m88egS1RI9ELfPkkSP2Myfy6tUlYI9ZRJ96zRe8rClTJCr0uGTF90xgF9Me2wrzqlUiZuMYpApYzgiWTIFV12pcwknFiVLI+qTaYvBitlgkFZLjnmB7OdwARlJeHAtan4mbDcO9DwG4X9UiA4a82e1yelgNls3JR0NbFU0Z6ytqIkXGli93yF5dh9+xxqnrRcPWAFruVaICshPejR3APzEksOL/YCgmrNe4lZm0yZsck0NslKreZl/aSHO5sNizXc2ThC0hukQdgpYcwpy5Gd0Qy5EpcEUnraHuzA2CXIIyYxJoBNX8yRkxPsnrJ8xgQdnP7c8Bw0cfpixg86/J4yTiWLTS/kqBUHe8oqwt8hIlkvPOPLcZyA3oF0TxwQDJoYbTURdUdxFlrQn9gXaFBGgPjk9MicMtmHM5NxPIe9HjTJV8rsBYLzcvnXqGy9AFIyv+EFjklftCtZktcoZ22SppLFOP9SpYZqjdMHEe4pkx94yhXiyIQrZeQ5YpRKmf2zVsrGJZKplNk/swVpxM1HK2XC9sMJIfnxH1yqtl/JsuiLkpUyS7iKkmQk0yNt+1VLkVpqT7OFPlzXpbJv6pUs+UqZncyXbkkBoiJ60t/BF7jTOWVtRYlUJmbNg6jbsuiFFPt2xoNnv1ipolL1XwCpBc5bQGv1BY4xhysg8UtcQMsV//wlgw47c8lQ2wL87CtLxpkdNLGDvvAxGPbHQ6Us7WBf9kSEPjLJBU3s9yCbccSvWThIkldfDPWUkST3S9WaF3AwgrJypebt+az9jLofV4OJZDH6ot2WEhhTkx6/LpDMN8qIkn6j1bNmjgMIth41evYNe25foEEZASVSCbQYmVPGkR6VLnPXbUUrWaKLgzWTw9jPOHKLtAmYXBeo1lxvE5CkY9hCH5zh0Y2gr2ZVygSzo7a6Y4VEuYn0QaQsaEpEfTEgNc5wRuOPpUgOQfVFhn3+fQ0IcZCTE5T3gBz0RSplpPEfpmdN+jsYh9r0/wLS+6W13xD2M7sS5wtjEeiX1ggc+7hS9gHjF8krYNp6BxSxFbsS5xU75Ctl4YKH+Lgp7SlrL6R7sqIzsmSbEYFwT5Z8P5P98jKoBiYjYc/4kgz6bFuVmmsdQ24j40vW+0FfuSafWfTolzUXlQZ9MS8dNFk0W/uzFKJBk3BQmcCcMnYFIjAjK6VBWVrPOw6MnrIkwBaMCQ6nFjcfsMlIrvArZaanTH6/DNqvRv5OAn6lyZ6LKbmfkffjnOnxdinsHjsoK1dsiqf8PShVav6eTwhci/bYA4K4mknmm2S1+Cgl7SlrL6RFGpoNuGOUoetBkxs4rqj9sp+xkTz/nK30VJVXRrSd/wCHnRD42UIZstfIz8x5PV+EnjLAz45mSUFTUpL1DHqkY9U22JUyeq+O7iBtQeqHXwOwlzZO0MR9D7Ih+qK4/dC7xeopY1HBw/2/9jEl7ZeqNY7kfuzwaPkRNSUrUZ3NOGL3IWPZKlddik9hV5oY9j16YYXT0hE3G1byGOFK3L5At1QCpJWAzINTqdUbZk2VQ/bhjNILOWVu2z6H/82YkWXTIopliyPPoC9W/EqTLEfez/wxqAx21dAT4iAFTeyBqs0+SyBA/yNENZmUO7uKvYM9PDoJsJ+jJO2zh8DXP0tTwU1PmTzrw7YXoC+Shkd79EUKvZDD/Aj0rJH2s1zG3vPl/Tq7bcR8B8nnqGAF3mbItqRfZxc8GAJxJqjUOWVthnTGINKwSZBj918uFr2wEViSlJJyMSIZkgu0nXWyNxlZ9UJDZ/DL6JRhmzWXah8AhsvcOV9edpdMX2QHZQxnziH36gRpYRqUKfYPmUDvo7x99nNq+7ZsIRGA57D7w6ll3cFwpcxxePTCSpWQxLQqZRx6ZNS+JPPGtleukuiLFr2QQl8MBE2EwNuyb1MMpd61sEjfvkCDMgIqwg9PoGGzbFPnCFSAil3m5vQbMV6uwAJHsF+3V78eQ+VK5LgSyAUCV0Yly6cvMiSKbVsjpOHOYfoiqxLX7LMEgpUyrn1OhSD+Z4Vif5FGlVC2umNEcp9FX6wYVoO0/UZQVuLMQbMDDuqIF8unYAiVVGqu1yOdF0xUA1ZbhyVORglqqjWUKwT6oq2qXeOJrRQrwbYXqZ5j7/yrKvTRVlSEF4hcNuNtKnbGQzaoMS8vx37OqgIx6Iv2AseYIQb4AcBQoFJGoEtUrUoWK7NIGObpOP68u2FS9tXYqxIyl7Z9/zPBWbR/TqEzyhZoSAIpPW0PAfpiOtmLIZott5LFf8+4PWsAk9rGWUujVHNOJa5k9UtJ7jex+6XkfmwFYEOkJKZN8WQwiAreKKUqxe+yK00lAn3R7lljzp4t6ZyysQFJh9cTabAqTRw5dlbQZ1WBTJWDoSxIWnwA/3yHivUFVFJyH7A2SSswptAX7cwfiV7IUkcMn6/0JpZEpYyvCmfTwgjn3+RYCsVoYIuV8N8Drn3hZahunz6eI7g/SvoTdfuhvUD6/BsXvWbR8Vk9XwwhEbvi41cTOYErK1kdN8stVfTFmAHkku+BOX/zfO4LNCgjgjXTghnRl6t2mZtRpXEp/GmzmJVJZfr6MRr0xVKFYt9Te6rYlTJG4O03LstnX4PN43whDo4jwbIPhCplqZQC5zq7ir0jSfVF1vgA2yxnnp4dNHFpvIzzZ1fKwvs7rWeNUOGw7VdqLsoEYSw70cthrvg7wWCx7lNI9tnXj+FX+7xkOIlhxaB42vRChuJ1BznoM8+LBmVjBIwZVja9UDao8V9e5pwv277szBJr8WHRF0ONy+JBmXUPKkyhD5J9IJodZVFiDFg9a97xCCnwoDMqbj71qnaKvSPJy+6S+JH2V2AHTRR6IbmnjF8p4651EVEmUgKtWrOFsQR9FrtfihBwZDOO94yy6YtlS7WbMmbHUr0W1TrIRe0z1BcDAneE8x8NNCgjQV5pKCrEwViA7EochX5pN4RKqi9mDD3SpdAv6/ZMpYy7gLKGbQbVquQrcUCMEIfwPUjaUaH3lJGdUcb5BypxKd1BxsOcLwNW0MRGsskDcfMJCIkEP7NnMvKo7JwkqbfnW+wY1n5ZJTFLzP7o+xTSQh/coMYkkiukZL5fDeVUsvy2Gpfi9+6PEFlKt9Sxj3xGTsGlbi9aKROlF1pUAF+FRpJ7bF5el6KiE5fVkg/K6vYM1YBFXwwO2+TSF1lBTZEkiR9xJEgU1WafJWAvC5wKgU0vTN/5K/aOcXHVE6wYs+mRSdAXxdfS0NpJ6ykjj0ep1iw6PmE2ac2Fxe6RvUYFLyir+xTS98D4XSPlqicIJMqwihFYY/gsrGS7N0opEPTJB/ajgQZlJIhXUayZGQz6oi3/ysl4RO2LZrXihiSy6IukrJb5DsOkSplNga0SqAyAf76ezDKbXpjGShm50uQkWCFg9Rsp9gz7urMLZbSeMuvnNM7Ts9cGyntGpheyE1Bmz/fk3kl7TaXqUpgf9gxME1iK+xQNv27A9JRJ3+OQzwKw6Is1SjLfnj/LKUZwg7798R80KCNBfN6EJV9LaUgkZyQCQSWBvmjO1XV9kQnpQYz+nLJ00hftzCJLBtnYM46idB9B+HrIV+JC2WOGs2j/nMJeGraQSBJIeyyZ5OnTesoSTB4IbwUAEgj6yJWyaIKLUykzGgesBFq9UibfIx2Yu0lSkIy2RHBbLgAWfZHkN1oUVY7fa/vVZri2nH3HcUbth2pQRgJL2pRVCSrE9BtR6JEWdY7xcgFEdURypSwuq8WQ3K/YEsJsyXqyjLP0+YdfW34GX9x8wr00KY9uxgHS2VEW6n0kzymj0Asz3PeAzQqIUsHTxTrIWvtZhcC+sc+XRcH0e8q4PouxD+xfn1Mz+KOaaihRg6Yk5vNyxgSN9r3SoIwE6TJ0HLdWlhscbQhlqS969knyst7MD3EqgMk6cfjf4cHLuYwj6kzYg5fNPZDeZPhCHOHP0pU4fqUsSaGPNNpPAuk8ax8pvewB2GIr7J4vdiWLQUNmr6WRnjK6Ui6HNVGt2WrC8i0XgE3HZyV6yYrRJd+nkEw0ekFThTPLLY7BJUqPTEQgTitlYwLS9EXzshYrVY8OwJOs55aJS0T6IuDTC+Xpi0GlJFbgPUwWyagGKmVkoQzx5vFQpYxM6eHT/xj22ZUsrjOq2DvGRU8ZuWLMpkey37Ok6YtptR+gLwoewzbFFisZIY3ZMddjkJSoNj4Wa1RTUOCOEHg3roc9PJo1K25foVsqCfIl0GBAUP87yUqToRfWqNPr6zOyOA2V5pLThDjI8rW+WhXHvsmQVawB3vKbTLLZV2l6YdgcRVI+cDwyrYqRwR8HlbLxBDelBEY7mExjRddeninqkeGgRvgg7OHU7JmStiQ+Y7iz4zh04aocOSjzFJ1J9EhzD9haByVSJcsLKqs8+qJWysYIpB9+8/AMklR08jEPP4MeaUunskr1RrJeXn0xTF/kLNClCrdSZtQvAVl+uX0M7zO7T0HaUUm8UiZuPmCTLwUubl4xxsAS+rCDSfqcMoqKqm+T0RMXtin9HSJrKSnJ2Oxzy/Y99pC/n9HmbnqVMo59r2VB2mfJGJ+Fwx7KWcn8EiGZbxcLGH6j8UtrLm+2qvaUjRGwSqDDdsMmY94Eac6XOf9SpebTF1mVLBYVgCz0EaUycDdhICj7K4GIjDNpE2v2uVWEnUNK0GT/TBES4dKq2PTLJJDS0x63cOgVXYJ9utBH6HjCxwivPdLXKLw283rK/OCelShlV8qG2S0XrEqcNaeswqAvJjSnDABGjF8n7rtrpWxMgE1fzDiyDqlNL6RMfre4xwz6Yt2eCVwbC5z0yxXOapEyl0VypWxvfyd5DPZsHWlfKOyosIcvs4fmCl/+iH1F+5HWnrLAMRg2ycmJDPs9JgdNEao2mXXA7lljHoPfU8aZgxZOJMvvx7bfSKAvNq5PcLizZM+apUVAqiaqJP4YAYu+SJNj9x5+Dn3RFxLh0RfNAuTRF0n9Uj69kESVqBh5X05PmQ328OW0DXcOm6M4c2z75EqWxmQKafDn9YmbD6ovJkBflL5GEXqksP2oki2XKg/w2Svy38H4FBz7hVDLBWt2a6XqUuiL8fNzJe37tobKHL9R6YtjBNJVGnNjB1kvlxnuXCFlPOx5EyT6ohe4evxszibgB2Wi5r0FuVhhZbX4mUW2+mJE6IPsqLCHzlLmMwV6vrj0yCSqKAyk9bzjwJb5YPWU2WDcDXpPWYC+KG4+pr9V1n74HWD3rLETdACDgmn2ZPk5aHX7wUSseGBMFifL2QwoSjLfBH2cOWWBAeFKXxzfYCm4DJHK0D690MpICD6cAXokib5oronXk0VqLPYyQqRKGUsFKG6TFM++0jfi4DWX3sTC1yONGfxEhUTkzSsOEATnlMnbZ88pS1JIBEhCsl7UfHQvIFHnDPJZ+f0sFwqaWLNPS2T7xidiJWGLlRplVJNHj6xx1B1thU0WfXG0YmoalJHA7pdi2WcPd7bL0OLKfE6okkWqNLH45ZEqE3swMqHhiN9HEPzM7rOg0P/sn1M4NHc8qC+m9LTjQa5kJTGnjG2fXclij7ZgHIMtJJJ2KnucTZq6I6lSZnwiVlAZVryWPgZbfRHwz3eIJLCWzyl9cUyAVQJllaGNvWKZlPGwVHo8+iJ5gZOmhpkFs1jlNv02+9wqwuakN5i6Ta4jkXT2mF1poveUMdQdm/ysUOwvHMKTxKfx2scSNx8jOiRrP0JfJFWZPPvkJKa0PwFEAwz2GByW8BZrzE7eaxmpRf5OAvE9ZZxK1pA3SombDN8bNCgjQZo6Z27skDcEkGS/zMl42ItNiRzU0Od8kexHJYTlqXn2MRKplLHniAnfA7ajAgBOYD6TuHl6r8t46CkbT0jn6OggOPRF+2fCWkd+D9hCHNH+WXKSkSzpL82MAZKr9vF8opA4mXjPmkmE+/NzJb+DPVvVJPPFq31mwDZtbIAGZWMC8pPZGyXWEkfEwgQARVLGw15AaUFTmJ9N6inzPpMzi2w6hvT1qdsMPjPS84eic8TSFfQBoQw7xT6XVsUI9BT7jwR0OFKJwGgIgqeTJSc/6HPKyDMZ2fRLILiHJcH8YFVRzKw1tk8kXymL+o2SfpERzKvUXG+UEkvF02sNIl2jfYUGZSSwytwsFaBMyD4gu4ja58uawxVWSmL3fEln5qKN0dxNhrGJJZ4dFXdU9vxZ5BgB+2T6IrlSllqMg68wnsB4pPhD1K2gj2wfIPTPkoM+Nn0R4CcZw8JSaeuL81ouaD5RUDHacWTvsz0gvFIjVcoafpY/K46jULmv0KCMBHYZms1ttv9OAvb18GdySNMxGvY9KoBwz1qY7kGiAnifGZtMIHvMp3vIZ3eDn8WHRydBXyQHTexeGvuck5BLV4xPsIN7+zll0wv59tM3pyyJ/txAkpFAX4xWytLFjrHpfxT7nrojqSfOCmhoAmshCqb8qCOtlI0JsEqs3oNDWkDNywtIZzysl4uctTGQl/gN2+fSSRiVMru6l0hQJn0PyH0QbEoPECzSpHN4tG9TQ7L2wx0Hd4Et9MEX7JG3z1Z3jLAO6Psxd79JRn2Ry/xIWyXOrzJxJPdt6h/L9zXXfKRMSuZrUDY2wMo68UQsjPoip4plm2MLffifOXPQmh2vZftkqkTYJmMTi2T+yHPE+JU4btDEpm2xh18rFBKgCH1Yzz47qOHbFzcfTUCJBxx7Pp4E7MQlg0LKH1PD3c/Y7BvjQxhqoXzA5F/vEVKlzAssvaBP1Pyor4kGZSSIz+AiB2VmbTMBE0PVzpyzYTyxytAG9GGY5KCSw5EPUmKkEX5u2JQY9j2m9Irs4XgSSHJOWVrZi4zKjGJ0cJr8LGY/yeHRKaRHsvtnkxD6CFQTE6iUsRPJLL/RIG0KnrGVMhZ90QR9wk7FaLUHNCgjIW3cYFNVMlPT2QFB3Gd5+9ysFjuopEjWk5vTIxs9seJa/0yuxJErTWz6Ir2nTNx6MhhP1b60BsY22D1ZHHqh/zNjnbDtM9ZquihTxGEXNQ8guCdTetZCe7C0qja7Uha+p+ygT9onchzHW6vN/Fz5WW7BShlrVty+QoMyElg9XyZooisLppDaxhbiYA8ujtrn9pSxs7uJUG7Izgo7qOH3osjbt6tMKvShkAAjRmb3ViZZkU5iLZVe65Jeqzn2uX1xSas78pkr/LEErGS+x+AiX6O9QYMyEtJWBWJnPJI4Bts+v6csHFSKmm8cw39u2DOyKNS8BJ5TulCG/TNZiIOtHqloP9IaFrOfo8B7QPB0kgya2EEfwEgyhj6TE72cJGPoc9p8ioR6yvzPouYB8J9Tut+oQdnYAP3BEV5/kuhnSpr+x78H5KwWOTBmD1RNog+CP9+IYN/6OZ1zyvyftVDWfqT1HtjPEec9tn/mJicoa521PjOuD9uhTkLJlq++GKqU0StN3EqctE8R9RtTWCljJyc0KBsb4NMLuZUyNtUAYGRtuFQA9vDocFDJpxdyAwJKHwR5AQ0fgzMU1joWo2fNDvvYQh8prdOMp2If+x4kQVGlBE1gr3XcgCBw/mRGAECgLyYgmsQW+ogOwObaZwcc8rNhE2CupJ1hpUHZ2AA748EecJeE0Id41oZMl0g8a5ZGGWe2o5JAnwJbKMMGPYMvbj2smjeewpt0gn0P2O8AC3x6pP8zuyLN3gtox2BXE9liLuREadrFz7TtZV/sj+6aa1BGgnwVKGyfXCmjZJ3YTa1s++HP3KwTOztK6YMI0Bfl7SdR0aXPB7J/pvesiZtXHGBI6yPkNPmZYp8ccLDVKQG+Q80e/5HEnDJ2FYXO7mGPkEmi7SVlgbFWysYI5DMqbBWg5CtlaVOQZN+DcNCaRg5+gL6YAOWGPueL3FTGzrAzqihprZwoxhbYFT52ggjkKg27EhdVX5Q/Bl/4yfo5gZYL6UNEer6k/caI0Ae5UpaAIE3avoOqL44RSM+DSEoW1CCVgxgTVkcUr8SRzx8IbpL82UB8yg3HWeHat00yrpF9BIqjJW9ScQCCTi8M/MytSKdScp/M/ACC+wGFOUFW2GRXaSI+hfQcMTLdvy2VMvI1ErevQdnYQNp4r2xqITAeKmVh+8IZmyTmutiVrBTKsUcUvcjPKSdo8sEZS2D9LG5dKZGKlMB+D8iVJvboiSQqZWkUfmJX4pLuZ5K+B0kHfYkIfZADSx0ePU6RtsHISfTqsLNOkXkW7HsgLSEcskfPvpIl8dlVrPrn9AWWwQy7uHl6IGkjrQFaOjUj45HWe8CGXR1jJyc4FXV7reYHHPz+3PQl0MJsEml2SXSOWLpUtZOYG5q40IfSF8cn6NQ8colVOqMSd4zUVcoi9ELZ1yc6JFHUfP0Y5E2M31PGXUDDNvkZcG7Qx+4TUSj2F+ynKPCYUoImH/x5gwmspSnsz2Vfo8B4lBQGHOzh0e1Q7U4fC02DsjEBesBBLnOzlYwyjrxzl3RPGX/YZvqCpqTpixxaEtc+u1IWoC9qAKU4QJFk0EdZhxJnHXCPwVnrkrtGDPtJi5Oxh0dTKroRv0jWPjs5oZL4YwRpi+aTaNi0X9gkJr/zByVKV8pCn1PYLxUc5iluPpHnlB1YNjuWnE1xkwpF6kBXISUPp2ZX4pKgL7LVftmVLDqVnR0QRJQLuX4ju1KWyzjyFFK6bz263x8XQdkNN9yA+fPnY8KECTjooINif6evrw/nn38+Jk6ciO7ublx11VUolUqB31m3bh3OOOMMdHV14YgjjsD3v/99uO7+dR+wX6602QdClTKGw04WgYgsoMKLg+M4iTZ3p7GxO3xNOENVLftkIQ6OM+fb1AAtHvu5rCskwU54sFVIE2QdJEFD5ogOkfebBCXx2UEl4xj0ZH4CfmMw0cstFoSPJ4HRJu9zokdvE0qlEi688ELMmzcP//M//xP5/9VqFYsXL8bHPvYxPPPMM9i2bRsuueQSuK6LW2+9FQDQ39+PhQsXYsGCBVi1ahU2btyISy+9FBMnTsQ3v/nNUZ+TOHeXzA3OZOoBgXFW2C8Xo1LGHx6dwALkOKg0bgJ75kcqg77QSXPohdxrZJtk9A0GVOdUwH7cI613mH3efBVSbtDEpponMWOKPiIlwSRjEmMJ2H6j9HOUtNAHpxLX/HgSGO05j4ug7PrrrwcALFu2LPb/r1ixAhs2bMC7776Lww8/HADwox/9CJdeeiluuOEGTJkyBT/72c8wMjKCZcuWoaOjA7Nnz8bGjRvx4x//GEuXLh11yZQ9PJqRMchlHJSrjYCAYt//DgxnN/xyiSsNhas0tMbo+j1gN0ans7E7GDCx6X/sniz2/CStlCkOVATfA+57lkYV2CizRPwQof2GYZ9byUoyiRn3uXX7wc8srYBKjZdIDlQrKecffDDZ1cq9YVzQF/eG5557DrNnz/YCMgA4++yzUSwWsXr1au93zjjjDHR0dAR+Z/PmzXj77bdHfUz28Gg2d1e6XwoI9ZQRVujwxit9D8JBBuMeJEnH4NsXN0/PvAIJCHHYP5NpSRqTKQ5Y0Ol/1s/y5kOCQ9zkU/14XGYD4ztkM9x7HBBbIQd9AMFnSUJhM8m+QYIqeOQeaKWMj61bt2LGjBmBv5s2bRoKhQK2bt3q/c7RRx8d+B3zb7Zu3YpZs2ZF7BaLRRSLRe/zrl27AAC14hAG+ndh27b9u7zlchlDQ0PYtm0b8vk8AGD3rt2oFYe83xkZ6Me2bdv2y37zAw+hVqzVfxweELdfGR7wvoObK4vbHx7oD1yjXTt2oFAZ2sO/GB36dwbtD/TvxLZt2ZZshu+1WxpCrVS/B4x7XBryn6PS0G5x+0O7d3r2ayOOuP2dO4etZygj/w4AqI4MolYcBgDs2rkD2zLFvfyLfUe5XEa5OIRasR59797V+jMUxu5d/j0Y3E1YJwDPfnFQfp2w7QOg2B8a2OUdg2EfiF/HJWHOf4ixF1j2y5kSxX7Z2g8Y9kd2++t1/44d2DZZtpFwoH9X4B4MlWXvdf9Of62ujMivdeVqLbRfbodTLIgeo76WjgAAhvp3Ydu2CaL27f2sTNjPRiyfws3mPPtS7/Zg/87APejfuQPbcqU9/IvRYdfOoYD94YFd4tfIKfs+S3lY/h7Un6HoPZBCcag/eg+y/j1o9V4P7fbXiX3SqHDHKK699loXdR5X0z+rVq0K/Js777zTnTp1asTW5Zdf7i5atCjy9/l83v3FL37huq7rLly40P27v/u7wP9/7733XADuc889t9/nqH/0j/7RP/pH/+gf/aN/9I/+OXD/vPvuu3uNfcZspezKK6/ERRddtMffCVe2muHQQw/F888/H/i7HTt2oFwue9WwQw891KuaGXzwwQcAEKmyGVx99dVYunSp97lWq2H79u2YPn16S6X6/v5+HHXUUXj33XcxZcqU/bajGPvQe31gQe/3gQO91wcO9F4fWND7feBA4l67rovdu3cHWqiaYcwGZd3d3eju7haxNW/ePNxwww3YsmULDjvsMAB18Y+Ojg7MmTPH+51rrrkGpVIJhULB+53DDz+8afDX0dER6EED0FSSf38wZcoUfeEPEOi9PrCg9/vAgd7rAwd6rw8s6P0+cNDqvZ46deo+/d64EPro6+vD2rVr0dfXh2q1irVr12Lt2rUYGBgAACxatAgnnngiLr74YqxZswaPPvoovvWtb+Hyyy/3LvKXv/xldHR04NJLL8Wrr76Ke++9F//+7/++X8qLCoVCoVAoFAqFQrGvGLOVstHge9/7Hu666y7v86mnngoAePzxx3HmmWcim83iwQcfxNe+9jWcdtpp6Orqwpe//GXcfPPN3r+ZOnUqent7ccUVV2Du3LmYNm0ali5dGqAnKhQKhUKhUCgUCoU0xkVQtmzZsqYzygxmzpyJBx54YI+/86lPfQpPPfWU4JntHzo6OnDttddGqJGK8Qe91wcW9H4fONB7feBA7/WBBb3fBw6SvteO6+6LRqNCoVAoFAqFQqFQKBgYFz1lCoVCoVAoFAqFQpFWaFCmUCgUCoVCoVAoFG2EBmUKhUKhUCgUCoVC0UZoUKZQKBQKhUKhUCgUbYQGZWMcf/7nf46ZM2eis7MThx12GC6++GJs3ry53aelEMbbb7+Nyy67DLNmzUJXVxeOOeYYXHvttSiVSu0+NQUJN9xwA+bPn48JEyaIDp1XtB+33XYbZs2ahc7OTsyZMwdPP/10u09JQcBTTz2F888/H4cffjgcx8Gvf/3rdp+SgoQbb7wRn/nMZzB58mQccsghWLJkCV5//fV2n5aChNtvvx0nnXSSNzR63rx5eOihh+jH1aBsjGPBggX4v//7P7z++uv41a9+hTfffBN/+Zd/2e7TUgjjtddeQ61Wwx133IH169fjlltuwX/913/hmmuuafepKUgolUq48MIL8dWvfrXdp6IQxC9/+Ut84xvfwD/90z9hzZo1+PznP49zzz0XfX197T41hTAGBwdx8skn4z//8z/bfSoKMp588klcccUVWLlyJXp7e1GpVLBo0SIMDg62+9QUBBx55JH4wQ9+gBdffBEvvvgizjrrLFxwwQVYv3499bgqiZ8y/OY3v8GSJUtQLBaRz+fbfToKIm666SbcfvvteOutt9p9Kgoili1bhm984xvYuXNnu09FIYA//dM/xac//Wncfvvt3t+dcMIJWLJkCW688cY2npmCCcdxcO+992LJkiXtPhVFAvjwww9xyCGH4Mknn8QXvvCFdp+OIgEcfPDBuOmmm3DZZZfRjqGVshRh+/bt+NnPfob58+drQHYAYNeuXTj44IPbfRoKhWIfUSqVsHr1aixatCjw94sWLcKzzz7bprNSKBTS2LVrFwDoHn0AoFqt4p577sHg4CDmzZtHPZYGZSnAd77zHUycOBHTp09HX18f7rvvvnafkoKMN998E7feeiu+8pWvtPtUFArFPuKjjz5CtVrFjBkzAn8/Y8YMbN26tU1npVAoJOG6LpYuXYrTTz8ds2fPbvfpKEhYt24dJk2ahI6ODnzlK1/BvffeixNPPJF6TA3K2oDrrrsOjuPs8c+LL77o/f63v/1trFmzBitWrEA2m8Vf//VfQ1mn6cBo7zUAbN68Geeccw4uvPBC/O3f/m2bzlyxP9if+60Yf3AcJ/DZdd3I3ykUinTiyiuvxCuvvIJf/OIX7T4VBREf//jHsXbtWqxcuRJf/epXcckll2DDhg3UY+ao1hWxuPLKK3HRRRft8XeOPvpo7+fu7m50d3fj+OOPxwknnICjjjoKK1eupJdRFa1jtPd68+bNWLBgAebNm4f//u//Jp+dQhqjvd+K8YXu7m5ks9lIVeyDDz6IVM8UCkX68PWvfx2/+c1v8NRTT+HII49s9+koiCgUCjj22GMBAHPnzsWqVavwH//xH7jjjjtox9SgrA0wQdb+wFTIisWi5CkpSBjNvX7//fexYMECzJkzB3feeScyGS1kpw2tvNuK9KNQKGDOnDno7e3FX/zFX3h/39vbiwsuuKCNZ6ZQKFqB67r4+te/jnvvvRdPPPEEZs2a1e5TUiQM13XpvrcGZWMYL7zwAl544QWcfvrpmDZtGt566y1873vfwzHHHKNVsnGGzZs348wzz8TMmTNx880348MPP/T+36GHHtrGM1Ow0NfXh+3bt6Ovrw/VahVr164FABx77LGYNGlSe09Osd9YunQpLr74YsydO9erePf19Wl/6DjEwMAA3njjDe/zpk2bsHbtWhx88MGYOXNmG89MIY0rrrgCP//5z3Hfffdh8uTJXjV86tSp6OrqavPZKaRxzTXX4Nxzz8VRRx2F3bt345577sETTzyBhx9+mHpclcQfw1i3bh3+/u//Hi+//DIGBwdx2GGH4ZxzzsE///M/44gjjmj36SkEsWzZMvzN3/xN7P/TV3R84tJLL8Vdd90V+fvHH38cZ555ZvInpBDDbbfdhh/+8IfYsmULZs+ejVtuuUVls8chnnjiCSxYsCDy95dccgmWsVY2lwAAA09JREFULVuW/AkpaGjWE3rnnXfi0ksvTfZkFHRcdtllePTRR7FlyxZMnToVJ510Er7zne9g4cKF1ONqUKZQKBQKhUKhUCgUbYQ2rSgUCoVCoVAoFApFG6FBmUKhUCgUCoVCoVC0ERqUKRQKhUKhUCgUCkUboUGZQqFQKBQKhUKhULQRGpQpFAqFQqFQKBQKRRuhQZlCoVAoFAqFQqFQtBEalCkUCoVCoVAoFApFG6FBmUKhUCgUCoVCoVC0ERqUKRQKhUIhhFdeeQVf+tKXMH36dHR2duKTn/wkbrrpJlQqlXafmkKhUCjGMDQoUygUCoVCAE8++SQ+97nPoaurC/fddx9efvll/OM//iNuvvlmfOlLX0KtVmv3KSoUCoVijMJxXddt90koFAqFQpFmVKtVHHfccZg/fz7uvvvuwP/bsGEDTjnlFNx+++247LLL2nSGCoVCoRjL0KBMoVAoFIoW8dxzz2H+/PlYu3YtTj755Mj/X7JkCYaGhrBixYo2nJ1CoVAoxjqUvqhQKBQKRYvYtGkTAOC4446L/f/HH3883nnnnSRPSaFQKBQpggZlCoVCoVC0iClTpgAAtm/fHvv/d+zY4f2OQqFQKBRhaFCmUCgUCkWLmDdvHvL5PO6///7I/6tWq1ixYgVOP/30NpyZQqFQKNIADcoUCoVCoWgR06dPx1VXXYV/+7d/w+bNmwP/75ZbbsG2bdvwD//wD206O4VCoVCMdWhQplAoFApFixgYGMBVV12FWbNmYcGCBXjppZcAADfddBOuueYa3HrrrSgUCqhWq20+U4VCoVCMRaj6okKhUCgULeK6667D9ddf732+5JJLsGzZMjiOE/i9TZs24eijj0747BQKhUIx1qFBmUKhUCgUCoVCoVC0EUpfVCgUCoVCoVAoFIo2QoMyhUKhUCgUCoVCoWgjNChTKBQKhUKhUCgUijZCgzKFQqFQKBQKhUKhaCM0KFMoFAqFQqFQKBSKNkKDMoVCoVAoFAqFQqFoIzQoUygUCoVCoVAoFIo2QoMyhUKhUCgUCoVCoWgjNChTKBQKhUKhUCgUijZCgzKFQqFQKBQKhUKhaCM0KFMoFAqFQqFQKBSKNkKDMoVCoVAoFAqFQqFoI/4/FXkjSHYp8ecAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dft_window_function(sig.windows.triang(63))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hann Window"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The [Hann window](https://en.wikipedia.org/wiki/Hann_function) or Hanning window $w[k] = \\frac{1}{2} ( 1 - \\cos(2 \\pi \\frac{k}{N}))$ is a smooth window whose first and last value is zero. It features a fast decay of the side lobes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dft_window_function(np.hanning(64))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hamming Window"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The [Hamming window](https://en.wikipedia.org/wiki/Window_function#Hamming_window) $w[k] =  0.54 - 0.46 \\cos(2 \\pi \\frac{k}{N})$ is a smooth window function whose first and last value is not zero. The level of the side lobes is approximately constant."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dft_window_function(np.hamming(64))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Blackman Window"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The [Blackman window](https://en.wikipedia.org/wiki/Window_function#Blackman_windows) $w[k] =  0.42 - 0.5 \\cos(2 \\pi \\frac{k}{N}) + 0.08 \\cos(4 \\pi \\frac{k}{N})$ features a rapid decay of side lobes at the cost of a wide main lobe and low frequency selectivity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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O2N7Q0KDx48ebirWxsdFUOdgL9eo8dqjTgCFVN2f8rfMZPkW08bf//p8nDsj3X36dOoN0n18KnsJ37GhQVsbQ/1Ys5UfzvUdafufOnbaN3c7fe7TyI9l/B7LDsYrYUa/Okw51evz4cVPlLJFABblcp5yADSNiW1Bra6tuvPFG/fM//7MuueQSeb1effe739WaNWv04IMPRn3N+vXrVVlZGXrc3d2tadOmqaysTDk5OUPG5vP51NjYqOXLlyszMzPGTwarol6dx051+lJbp957ce8QJVx674Q0qeiTuqAwL+yZ4ydO6pamnZKkSy4p0/hxQ5/OYyk/mu890vLLli1T7uluS8SSTt97tPIj2X8lex2rMI96dZ50qtPg1WnDsUQCNXHiRGVkZESMNnV0dESMSgVt3LhRS5cu1Xe/+11J0vnnn6/TTz9dpaWluuOOO+TxRF53nZWVpaysrIjtmZmZpneIWMrCPqhX57FDnR47fnL4Qn8rd+pnyTQ+/HGp/7MOfTqPpfxovvfIy48dsl6tHbudv/fI8iPZf8P+HRscq4gd9eo86VCnZj+fJWbhGzdunBYsWBAxNNjY2KglS5ZEfc3x48c1Zkx4+BkZ/dcXGAaz/wCwvvzswUdS4ikHJBP7L4B0ZYkESpIqKyv1wAMP6KGHHtKrr76qm2++WUeOHNGaNWsk9V9+d9VVV4XKl5eX64knnlBNTY1ef/11vfDCC7rxxhtVUlKiKVOmpOpjAIBpJYV58uS6NdjtIS71z2ZWEuXyJyDV2H8BpCtLXMInSVdccYWOHTum22+/XV6vV8XFxdq+fbumT58uSfJ6vWFrQv3DP/yDenp6dM899+g73/mOzjzzTC1btkw//vGPU/URACAmGWNcqiovUkVts1xS2ExmwU5pVXmRMoa6Ax9IEfZfAOnKMgmUJK1du1Zr166N+tyWLVsitt1www264YYbRjkqABg9K4o9qlk1X1VPHdI73R8us1DAOjqwAfZfAOnIUgkUAKSjFcUeLZ0xUbM3NEiStqxepNKZk/jlHrbA/gsg3VjmHigASGcDO5slhXl0PmEr7L8A0gkJFAAAAACYRAIFAAAAACaRQAEAAACASSRQAAAAAGASCRQAAAAAmMQ05gAwSvwBQ01tnero6VV+tpvZyYC/8QcMvdTWqX1HXZrQ1qnFM/I5NgDYBgkUAIyC+havquta5e3qDW3zsLgocMqxkaGth/dybACwFS7hA4AEq2/xqqK2OSx5kqT2rl5V1DarvsWbosiA1OLYAOAEJFAAkED+gKHqulYZUZ4Lbquua5U/EK0E4FwcGwCcggQKABKoqa0z4tf1gQxJ3q5eNbV1Ji8owAI4NgA4BQkUACRQR8/gHcR4ygFOwbEBwClIoAAggfKz3QktBzgFxwYApyCBAoAEKinMkyfXrcEmZHapfza+ksK8ZIYFpBzHBgCnIIECgATKGONSVXmRJEV0FIOPq8qLWPMGaYdjA4BTkEABQIKtKPaoZtV85edkhW0vyHWrZtV81rpB2uLYAOAELKQLAKNgRbFHS2dM1OwNDZKkLasXqXTmJH5dR9o79dh44Bvz9JlZHo4NALbBCBQAjJKBHcKSwjw6iMDfDDwWFn30LI4NALZCAgUAAAAAJpFAAQAAAIBJJFAAAAAAYBIJFAAAAACYRAIFAAAAACYxjTkAmOQPGGpq61RHT6/ys93MrAckCcceACshgQIAE+pbvKqua5W3qze0zZPrVlV5EYt/AqOIYw+A1XAJHwAMo77Fq4ra5rAOnCS1d/WqorZZ9S3eFEUGOBvHHgArIoECgCH4A4aq61plRHkuuK26rlX+QLQSAOLFsQfAqkigAGAITW2dEb9+D2RI8nb1qqmtM3lBAWmAYw+AVZFAAcAQOnoG78DFUw6AORx7AKyKBAoAhpCf7U5oOQDmcOwBsCoSKAAYQklhnjy5bg02YbJL/TOClRTmJTMswPE49gBYFQkUAAwhY4xLVeVFkhTRkQs+riovYk0aIME49gBYFQkUAAxjRbFHNavmKz8nK2x7Qa5bNavmsxYNMEo49gBYEQvpAoAJK4o9WjpjomZvaJAkbVm9SKUzJ/HrNzDKOPYAWA0jUABg0sAOW0lhHh04IEk49gBYCQkUAAAAAJhEAgUAAAAAJpFAAQAAAIBJJFAAAAAAYBIJFAAAAACYRAIFAAAAACaRQAEAAACASSykCyBt+QOGmto61dHTq/xsN+vLAA7BsQ1gNJFAAUhL9S1eVde1ytvVG9rmyXWrqrxIK4o9KYwMwEhwbAMYbVzCByDt1Ld4VVHbHNbBkqT2rl5V1DarvsWbosgAjATHNoBkIIECkFb8AUPVda0yojwX3FZd1yp/IFoJAFbFsQ0gWUigAKSVprbOiF+nBzIkebt61dTWmbygAIwYxzaAZCGBApBWOnoG72DFUw6ANXBsA0gWEigAaSU/253QcgCsgWMbQLKQQAFIKyWFefLkujXYhMYu9c/YVVKYl8ywAIwQxzaAZCGBApBWMsa4VFVeJEkRHa3g46ryItaMAWyGYxtAspBAAUg7K4o9qlk1X/k5WWHbC3Ldqlk1n7ViAJvi2AaQDJZKoDZv3qzCwkK53W4tWLBAzz333JDl+/r6dNttt2n69OnKysrSxz/+cT300ENJihaAna0o9uj3lReFHm9ZvUjPf28ZHSzA5ji2AYy2sakOIGjbtm1at26dNm/erKVLl+qXv/ylVq5cqdbWVp199tlRX/PVr35V77zzjh588EHNmDFDHR0dOnnyZJIjB2BXAy/lKSnM49IewCE4tgGMJsskUHfffbeuvfZaXXfddZKkTZs2aceOHaqpqdHGjRsjytfX12vXrl16/fXXlZfXf0PoRz/60WSGDAAAACDNWCKBOnHihPbt26dbb701bHtZWZl2794d9TVPPfWUFi5cqJ/85Cf69a9/rdNPP11f+MIX9IMf/ECnnXZa1Nf09fWpr68v9Li7u1uS5PP55PP5howx+Pxw5WAv1KvzxFKnPt/JAX/3yecyUlaeWMyWPzlk3Vo7djt/76MZ+9B1OvL3H748Eod21XnSqU7NfkZLJFBHjx6V3+/X5MmTw7ZPnjxZ7e3tUV/z+uuv6/nnn5fb7daTTz6po0ePau3aters7Bz0PqiNGzequro6YntDQ4PGjx9vKtbGxkZT5WAv1KvzmKnTPr8UPA3u2NGgrIzUlScWc+V37txp29jt/L2PZuzD1elox47RQbvqPOlQp8ePHzdVzhIJVJDLFX6NsmEYEduCAoGAXC6XHnnkEeXm5krqvwzw7/7u73TvvfdGHYVav369KisrQ4+7u7s1bdo0lZWVKScnZ8jYfD6fGhsbtXz5cmVmZsb60WBR1KvzxFKnx0+c1C1NOyVJl1xSpvHjhj4ljmZ5YjFXftmyZco9ffCFUK0cu52/99GMfbg6He3YkVi0q86TTnUavDptOJY4o0ycOFEZGRkRo00dHR0Ro1JBHo9HH/nIR0LJkyTNmjVLhmHov//7vzVz5syI12RlZSkrKytie2ZmpukdIpaysA/q1XnM1Gmm8eEPNP3lhz4ljmZ5YjFbfuyQ9Wrt2O38vY9m7EPX6cjff/jySDzaVedJhzo1+/ksMY35uHHjtGDBgoihwcbGRi1ZsiTqa5YuXaq3335b77//fmjbX/7yF40ZM0ZTp04d1XgBAAAApCdLJFCSVFlZqQceeEAPPfSQXn31Vd188806cuSI1qxZI6n/8rurrroqVP7KK6/UhAkTtHr1arW2turZZ5/Vd7/7XV1zzTWDTiIBwNn8AUMvtXVq31GXXmrrlD/AjeMAhuYPGNrz2jH99sBb2vPaMc4bAIZlmTHtK664QseOHdPtt98ur9er4uJibd++XdOnT5ckeb1eHTlyJFT+jDPOUGNjo2644QYtXLhQEyZM0Fe/+lXdcccdqfoIAFKovsWr6rpWebt6JWVo6+G98uS6VVVexAKaAKIKP2/047wBYDiWSaAkae3atVq7dm3U57Zs2RKx7dxzz02LGUEADK2+xauK2mad+rtxe1evKmqbVbNqPp0hAGE4bwCIl2Uu4QOAePgDhqrrWiM6QZJC26rrWrksB0AI5w0AI0ECBcDWmto6wy6/OZUhydvVq6a2zuQFBcDSOG8AGAkSKAC21tEzeCconnIAnI/zBoCRIIECYGv52UMvwBlrOQDOx3kDwEiQQAGwtZLCPHly3XIN8rxL/bNqlRTmJTMsABbGeQPASJBAAbC1jDEuVZUXSVJEZyj4uKq8SBljBusqAUg3nDcAjAQJFADbW1HsUc2q+crPyQrbXpDrZipiAFFx3gAQL0utAwUA8VpR7NHSGRM1e0ODJOmBb8zTZ2Z5+AUZwKBOPW9sWb1IpTMncd4AMCRGoAA4xsBOz6KPnkUnCMCwBp4nSgrzOG8AGBYJFAAAAACYRAIFAAAAACaRQAEAAACASaYnkXjqqadifvPly5frtNNOi/l1AAAAAGBFphOoL37xizG9scvl0uHDh/Wxj30s1pgAAAAAwJJiuoSvvb1dgUDA1J/x48ePVswAAAAAkBKmR6CuvvrqmC7HW7VqlXJycuIKCgCC/AFDTW2d6ujpVX62m2mGAaQU5yQAphOohx9+OPT3d955R5MnTx6yfE1NTfxRAYCk+havquta5e3qDW3z5LpVVV6kFcWeFEYGIB1xTgIgxTkL3+WXX66TJ09GfW6w7QAQi/oWrypqm8M6KpLU3tWritpm1bd4UxQZgHTEOQlAUFwJ1FlnnaUbbrghYvuxY8f02c9+dsRBAUhv/oCh6rpWGVGeC26rrmuVPxCtBAAkFuckAAPFlUD9+te/1h/+8Ac98MADoW2vvvqqSkpKuO8JwIg1tXVG/Mo7kCHJ29WrprbO5AUFIG1xTgIwkOl7oAY688wz9fjjj+uiiy7S7Nmz9e677+prX/ua/vEf/1E//vGPEx0jgDTT0TN4RyWecgAwEpyTAAxkOoG67LLLNHfuXM2bN09z587V7Nmzde+99+rSSy9Vb2+v7r33Xl199dWjGSuANJGf7U5oOQAYCc5JAAYynUDNnDlTL7zwgjZv3qxjx47pzDPP1Jw5c2QYhr7+9a9r7ty58vl8yszMHM14AaSBksI8eXLdau/qjXrPgUtSQW7/9MEAMNo4JwEYyPQ9UD/96U/1+9//Xv/zP/+jI0eOaOvWrbr44ov1mc98Rn/4wx80f/58nXHGGZozZ85oxgsgDWSMcamqvEhSf8dkoODjqvIi1l4BkBSckwAMFNc9UFOnTtXUqVP1+c9/PrTt/fff1/79+/XKK68kLDgA6WtFsUc1q+ar6qlDeqe7L7S9gDVXAKQA5yQAQaYTqFdeeUXFxcUaMyb6oNUZZ5yh0tJSlZaWSpIOHTqkc845R2PHxpWjAYBWFHu0dMZEzd7QIEnasnqRSmdO4ldeACnBOQmAFMMlfPPmzdOxY8dMv/HixYt15MiRuIICgKCBHZOSwjw6KgBSinMSANPDQ4Zh6P/+3/+r8ePHmyp/4sSJuIMCAAAAACsynUBdeOGF+vOf/2z6jRcvXqzTTjstrqAAAAAAwIpMJ1DPPPNM6O9//vOfdc4554xGPAAAAABgWabvgRro/PPP16WXXqqGhoZExwMAAAAAlhVXAtXW1qZFixZp9erVmjVrlmpqanT8+PFExwYAAAAAlhJXAjVlyhRt2LBBb7zxhqqrq7Vt2zZNnTpVt9xyi954441ExwgAAAAAlhDXIk3/+7//q3fffVfvvvuupkyZosrKSj3//POqqanRpk2bmIEPwKD8AUNNbZ3q6OlVfrabaYABOBrnPMB54kqgTj/9dOXk5GjSpEnKzs5WTk6OcnJydNlllyknJyfRMQJwiPoWr6rrWuXt6g1t8+S6VVVepBXFnhRGBgCJxzkPcKa4EqivfOUramho0IoVK3TTTTdpxowZiY4LgMPUt3hVUdss45Tt7V29qqhtVs2q+XQoADgG5zzAueK6B2rbtm06ePCgTj/9dH3yk5/UF77wBT399NOJjg2AQ/gDhqrrWiM6EpJC26rrWuUPRCsBAPbCOQ9wtrgSKEmaOnWq7rzzTh05ckQrV65URUWF5syZo4cffjiR8QFwgKa2zrBLWE5lSPJ29aqprTN5QQHAKOGcBzhbXJfw/exnP1NPT4/ef//90P/PPfdc7dy5U9ddd51Wr16d6DgB2FhHz+AdiXjKAYCVcc4DnC2uBOqxxx7TmWeeqbPOOktnnnmmpk6dquLiYn3+85/XWWedlegYAdhcfrY7oeUAwMo45wHOFlcCtWfPnkTHAcDBSgrz5Ml1q72rN+o9AS5JBbn90/sCgN1xzgOcLe57oADArIwxLlWVF0nq7zgMFHxcVV7E2igAHIFzHuBsJFAAkmJFsUc1q+YrPycrbHtBrpvpfAE4Duc8wLniuoQPAOKxotijpTMmavaGBknSltWLVDpzEr/CAnAkznmAMzECBSCpBnYcSgrz6EgAcDTOeYDzkEABAAAAgEkkUAAAAABgEgkUAAAAAJhEAgUAAAAAJpFAAQAAAIBJJFAAAAAAYBLrQAEYEX/AUFNbpzp6epWf7WaaXgAYAc6pgPWRQAGIW32LV9V1rfJ29Ya2eXLdqiov0opiTwojAwD74ZwK2IOlLuHbvHmzCgsL5Xa7tWDBAj333HOmXvfCCy9o7Nixmjt37ugGCCCkvsWritrmsIZektq7elVR26z6Fm+KIgMA++GcCtiHZRKobdu2ad26dbrtttu0f/9+lZaWauXKlTpy5MiQr+vq6tJVV12liy++OEmRAvAHDFXXtcqI8lxwW3Vdq/yBaCUAAANxTgXsxTIJ1N13361rr71W1113nWbNmqVNmzZp2rRpqqmpGfJ13/rWt3TllVdq8eLFSYoUQFNbZ8SvpAMZkrxdvWpq60xeUABgU5xTAXuxxD1QJ06c0L59+3TrrbeGbS8rK9Pu3bsHfd3DDz+s1157TbW1tbrjjjuG/Xf6+vrU19cXetzd3S1J8vl88vl8Q742+Pxw5WAv1Gt8vO99YLqcz5cTts3nOzng7z75XEP/ohpL+fCyJ00c16MXS6zlicVs+aHr1dqx2/l7H83YU3usWuF7HMk51WpoV50nnerU7Ge0RAJ19OhR+f1+TZ48OWz75MmT1d7eHvU1hw8f1q233qrnnntOY8ea+xgbN25UdXV1xPaGhgaNHz/e1Hs0NjaaKgd7oV5j83qXS1LG8OUOHdD2/94ftq3PLwVPPTt2NChrmLeJpfzAsjt37kzoeyczdmIZvPxw9Wrl2O38vY9m7Kk+Vq3wPY7knGpVtKvOkw51evz4cVPlLJFABblc4dN0GoYRsU2S/H6/rrzySlVXV+sTn/iE6fdfv369KisrQ4+7u7s1bdo0lZWVKSdn6F90fD6fGhsbtXz5cmVmZpr+N2Ft1Gt8/AFD/37Xs3qnuy/qNfsuSQW5Wbr+igsjpt89fuKkbmnaKUm65JIyjR839GkolvIDyy5btky5p7sT9t7JjJ1YBi8/XL1aOXY7f++jGXuqj1UrfI8jOadaDe2q86RTnQavThuOJRKoiRMnKiMjI2K0qaOjI2JUSpJ6enq0d+9e7d+/X9dff70kKRAIyDAMjR07Vg0NDVq2bFnE67KyspSVlRWxPTMz0/QOEUtZ2Af1GptMSRu+cJ4qapvlksIa/GDTXlV+ntxZ4yJfa3zY+Pd/70OfhmIpH1527LB1OpqxxFqeWMyWH7perR27nb/30Yw9tceqFb7HkZxTrYp21XnSoU7Nfj5LTCIxbtw4LViwIGJosLGxUUuWLIkon5OTo4MHD+rAgQOhP2vWrNE555yjAwcO6IILLkhW6EDaWlHsUc2q+crPCf9RoiDXrZpV81mzBABiwDkVsA9LjEBJUmVlpb7xjW9o4cKFWrx4se6//34dOXJEa9askdR/+d1bb72lrVu3asyYMSouLg57fX5+vtxud8R2AKNnRbFHS2dM1OwNDZKkLasXqXTmJMtfYgIAVsQ5FbAHyyRQV1xxhY4dO6bbb79dXq9XxcXF2r59u6ZPny5J8nq9w64JBSD5BjbsJYV5NPQAMAKcUwHrs0wCJUlr167V2rVroz63ZcuWIV+7YcMGbdiwIfFBAQAAAMDfWOIeKAAAAACwAxIoAAAAADCJBAoAAAAATCKBAgAAAACTLDWJBIDU8wcMNbV1qqOnV/nZbmaBAgCL4nwNpAYJFICQ+havquta5e3qDW3z5LpVVV7EIo4AYCGcr4HU4RI+AJL6G+OK2uawxliS2rt6VVHbrPoWb4oiAwAMxPkaSC0SKADyBwxV17XKiPJccFt1Xav8gWglAADJwvkaSD0SKABqauuM+CVzIEOSt6tXTW2dyQsKABCB8zWQeiRQANTRM3hjHE85AMDo4HwNpB4JFADlZ7sTWg4AMDo4XwOpRwIFQCWFefLkujXY5Lcu9c/uVFKYl8ywAACn4HwNpB4JFABljHGpqrxIkiIa5eDjqvIi1hcBgBTjfA2kHgkUAEnSimKPalbNV35OVtj2gly3albNZ10RALAIztdAarGQLoCQFcUeLZ0xUbM3NEiStqxepNKZk/glEwAshvM1kDqMQAEIM7DxLSnMozEGAIvifA2kBgkUAAAAAJhEAgUAAAAAJpFAAQAAAIBJTCIBpAF/wFBTW6c6enqVn+3mWnkASEO0BUBikEABDlff4lV1Xau8Xb2hbZ5ct6rKi5jqFgDSBG0BkDhcwgc4WH2LVxW1zWENpiS1d/WqorZZ9S3eFEUGAEgW2gIgsUigAIfyBwxV17XKiPJccFt1Xav8gWglAABOQFsAJB4JFOBQTW2dEb82DmRI8nb1qqmtM3lBAQCSirYASDwSKMChOnoGbzDjKQcAsB/aAiDxSKAAh8rPdie0HADAfmgLgMQjgQIcqqQwT55ctwaboNal/hmYSgrzkhkWACCJaAuAxCOBAhwqY4xLVeVFkhTRcAYfV5UXsQYIADgYbQGQeCRQgIOtKPaoZtV85edkhW0vyHWrZtV81v4AgDRAWwAkFgvpAg63otijpTMmavaGBknSltWLVDpzEr82AkAaoS0AEocRKCANDGwgSwrzaDABIA3RFgCJQQIFAAAAACaRQAEAAACASSRQAAAAAGASk0gANuQPGGpq61RHT6/ys91cyw4ASDjaGiA6EijAZupbvKqua5W3qze0zZPrVlV5EVPRAgASgrYGGByX8AE2Ut/iVUVtc1iDJkntXb2qqG1WfYs3RZEBAJyCtgYYGgkUYBP+gKHqulYZUZ4Lbquua5U/EK0EAADDo60BhkcCBdhEU1tnxK+BAxmSvF29amrrTF5QAABHoa0BhkcCBdhER8/gDVo85QAAOBVtDTA8EijAJvKz3QktBwDAqWhrgOGRQAE2UVKYJ0+uW4NNIOtS/wxJJYV5yQwLAOAgtDXA8EigAJvIGONSVXmRJEU0bMHHVeVFrNEBAIgbbQ0wPBIowEZWFHtUs2q+8nOywrYX5LpVs2o+a3MAAEaMtgYYGgvpAjazotijpTMmavaGBknSltWLVDpzEr8GAgAShrYGGBwjUIANDWzASgrzaNAAAAlHWwNERwIFAAAAACZxCR9gAf6Aoaa2TnX09Co/280vfQAA2/EHDL3U1ql9R12a0NapxTPyacvgSCRQQIrVt3hVXdcatvK7J9etqvIibtQFANhCeFuWoa2H99KWwbG4hA9IofoWrypqm8OSJ0lq7+pVRW2z6lu8KYoMAABzaMuQbkiggBTxBwxV17XKiPJccFt1Xav8gWglAABIPdoypCMSKCBFmto6I36tG8iQ5O3qVVNbZ/KCAgAgBrRlSEckUECKdPQM3uDEUw4AgGSjLUM6slQCtXnzZhUWFsrtdmvBggV67rnnBi37xBNPaPny5Zo0aZJycnK0ePFi7dixI4nRAiOTn+1OaDkAAJKNtgzpyDIJ1LZt27Ru3Trddttt2r9/v0pLS7Vy5UodOXIkavlnn31Wy5cv1/bt27Vv3z595jOfUXl5ufbv35/kyIH4lBTmyZPr1mATvLrUPxtfSWFeMsMCAMA02jKkI8skUHfffbeuvfZaXXfddZo1a5Y2bdqkadOmqaamJmr5TZs26ZZbbtGiRYs0c+ZM/ehHP9LMmTNVV1eX5MiB+GSMcamqvEiSIhqe4OOq8iLW0AAAWBZtGdKRJdaBOnHihPbt26dbb701bHtZWZl2795t6j0CgYB6enqUlzf4Lxx9fX3q6+sLPe7u7pYk+Xw++Xy+Id8/+Pxw5WAvqa7Xi8+ZqF98bY5+8P/+pHd6Ptw3C3KzdNvKc3XxOROjxubznRzwd598rqFnN4ql/Gi+92iXDy970sRxbdXYiWXw8kPXq7Vjt/P3Ppqxp/ZYtdL3GGt5q8QSb1sGe0h1XymZzH5GSyRQR48eld/v1+TJk8O2T548We3t7abe46677tIHH3ygr371q4OW2bhxo6qrqyO2NzQ0aPz48ab+ncbGRlPlYC+prtebz5Vu/WP/4fitc/0698wP5H9jn7a/Eb18n18KHr47djQoK2Po94+l/Gi+dzJj37lzp21jJ5bByw9Xr1aO3c7f+2jGnupj1Urfo91jj7Utg72kuq+UDMePHzdVzhIJVJDLFT68axhGxLZoHn30UW3YsEG//e1vlZ+fP2i59evXq7KyMvS4u7tb06ZNU1lZmXJycob8N3w+nxobG7V8+XJlZmYOGxPswSr1evzESd36x52SpLVfWa7x44Y+NI+fOKlbmvrLX3JJWULLj+Z7JzP2ZcuWKff0oW9atmrsxDJ4+eHq1cqx2/l7H83YU32sWul7dELswbbsm1/8zLD1CnuwSl8pGYJXpw3HEgnUxIkTlZGRETHa1NHRETEqdapt27bp2muv1W9+8xt99rOfHbJsVlaWsrKyIrZnZmaa3iFiKQv7SHS9+gOGmto61dHTq/zs/ptnh7r+O9P48Ln+WIY+NEezvJViibV8eNmxw9apdWMnlsHLD12v1o7dzt/7aMae2mPVSt9jrOWtFEtk+aHrNdZ2EqmXDn1gs5/PEgnUuHHjtGDBAjU2NupLX/pSaHtjY6Muu+yyQV/36KOP6pprrtGjjz6qSy+9NBmhAsOqb/Gquq41bGFBT65bVeVFWlHsSWFkAACkHu0k7M4ys/BVVlbqgQce0EMPPaRXX31VN998s44cOaI1a9ZI6r/87qqrrgqVf/TRR3XVVVfprrvu0ic/+Um1t7ervb1dXV1dqfoIgOpbvKqobY5Ylb29q1cVtc2qb/GmKDIAAFKPdhJOYJkE6oorrtCmTZt0++23a+7cuXr22We1fft2TZ8+XZLk9XrD1oT65S9/qZMnT+rb3/62PB5P6M9NN92Uqo+ANOcPGKqua1W0OYqC26rrWuUPDD3rEQAATkQ7CaewxCV8QWvXrtXatWujPrdly5awx88888zoBwTEoKmtM+IXtYEMSd6uXjW1dWrxxyckLzAAACyAdhJOYZkRKMDuOnoGbxTiKQcAgJPQTsIpSKCABMnPNjddq9lyAAA4Ce0knIIECkiQksI8eXLdGmwSVpf6ZxkqKcxLZlgAAFgC7SScggQKSJCMMS5VlRdJUkTjEHxcVV7EOhcAgLREOwmnIIECEmhFsUc1q+YrPyd8weaCXLdqVs1nfQsAQFqjnYQTWGoWPsAJVhR7tHTGRM3e0CBJ2rJ6kUpnTuIXNQAARDsJ+yOBAkzyBww1tXWqo6dX+dn912gPdrIfuH2ocgAApKNY28lY2mBgtJFAASbUt3hVXdcatn6FJ9etqvIiLjcAAGAU0QbDargHChhGfYtXFbXNEYv/tXf1qqK2WfUt3hRFBgCAs9EGw4pIoIAh+AOGqutaZUR5Lrituq5V/kC0EgAAIF60wbAqEihgCE1tnRG/eg1kSPJ29aqprTN5QQEAkAZog2FVJFDAEDp6Bj9xx1MOAACYQxsMqyKBAoaQn+1OaDkAAGAObTCsigQKGEJJYZ48ue6IFdODXOqfCaikMC+ZYQEA4Hi0wbAqEihgCBljXKoqL5KkiBN48HFVeRFrUQAAkGC0wbAqEiikLX/A0Ettndp31KWX2joHncVnRbFHNavmKz8nK2x7Qa5bNavmswYFAACjJN422B8wtOe1Y/rtgbe057VjzNSHhGIhXaSl8EX5MrT18N4hF+VbUezR0hkTNXtDgyRpy+pFKp05iV+9AAAYZbG2wSy8i9HGCBTSTryL8g08UZcU5pE8AQCQJGbbYBbeRTKQQCGtsCgfAADORBuPZCGBQlphUT4AAJyJNh7JQgKFtMKifAAAOBNtPJKFBApphUX5AABwJtp4JAsJFNIKi/IBAOBMtPFIFhIopBUW5QMAwJlo45EsJFBwDLOL5rEwLgAAzsTCu0gGFtKFI8S6aN6pi/I98I15+swsD79KAQBgcyy8i9HGCBRsLxEL4y766FkkTwAAOAQL72I0kUDB1lg0DwAAxIM+BOJFAgVbY9E8AAAQD/oQiBcJFGyNRfMAAEA86EMgXiRQsDUWzQMAAPGgD4F4MQsfLMsfMNTU1qmOnl7lZ7uj3gQaXDSvvas36jXMLvVPXcqieQAAYKB4+xBm+idwNhIoWJLZKUWDi+ZV1DbLJYWdAFk0DwAADCaePgRTnkPiEj5YUKxTirIwLgAAiEcsfQimPEcQI1CwlOGmFHWpf0rR5UUFYb8IxbpoHgAAgGSuDxFv/wTOxAgULGUkU4qaXTQPAABgoOH6EEx5joEYgUJSDXfjJVOKAgAAqxlJ/4RJJ5yHBApJY+bGS6YUBQAAVhNv/4RJJ5yJS/iQFGZvvAxOKTrY7zIu9Z94mJYcAAAkSzz9EyadcC4SKIy64W68lPpvvPQHjNCUopIiTlJMSw4AAFIh1v5JLH0f2A8JFEZdrDdeMi05AACwmlj6J0w64WzcA4URMXNjZDw3XjItOQAAsBqz/RMmnXA2EijEzeyNkfHeeMm05AAAwGrM9E+YdMLZuIQPcYnlxkgmhgAAAOmESSecjQQKMYv1xkgmhgAAAOmESSecjQQKYfwBQ3teO6bfHnhLe147FvVAjefGSCaGAAAA6SQZk06Y6bch8bgHCiFmr7uN98ZIJoYAAADpZDQnneB+qdRhBAqSYrvuNt4bIyUmhgAAAOllNCad4H6p1CKBcjgzQ7uxXnfLpBAAAACJE0vfaiT3S3HJX2JwCZ+DmR3ajeW628UfnxC6MbKitlkuKewAZlIIAACA2MTSt9rz2rGY+m1BXPKXOIxA2ZCZXw9iGdqNd6FbJoUAAABIDLN9q3jvl4rnkj9/wNBLbZ3ad9Sll9o6GbH6G0agLCCWFafN/How3NCuS/1Du8uLCpQxxhX3PU1MCgEAAJA4ZvpWsfbbYu0XBoX3OTO09fDeYUesYunT2hkJ1ChIdEI0sGxFbXPEARD89SD460Ssl+QFr7tt7+qNenC51P/rR7R7mpgUAgAAIHGG61vF2m+LtV8ome9zDhTrJYJ2TrYsdQnf5s2bVVhYKLfbrQULFui5554bsvyuXbu0YMECud1ufexjH9N99903KnHFMnxZ3+LVp368U3//qxd102MH9Pe/elGf+vHOqEOjsQynxnLDYKxDuyx0CwAAYA+x9tti7RfGM0lFrJcIxtJfDrLSBBiWSaC2bdumdevW6bbbbtP+/ftVWlqqlStX6siRI1HLt7W16XOf+5xKS0u1f/9+ff/739eNN96oxx9/PKFxBSt41UN7tfVwhlY9tDfpCZEU268H8VySxz1NAAAA9hBLvy3WfmGsi/rG2qeN536seBKu0WSZBOruu+/Wtddeq+uuu06zZs3Spk2bNG3aNNXU1EQtf9999+nss8/Wpk2bNGvWLF133XW65ppr9NOf/jRhMVklIZJi+/Ug3mnGVxR79PvKi0KPt6xepOe/t4zkCQAAwGLM9tti7RfGOmIVS582GaNbyWCJBOrEiRPat2+fysrKwraXlZVp9+7dUV+zZ8+eiPKXXHKJ9u7dK5/PN+KYrJQQSbH9ejCSS/K4pwkAAMAezPTbYu0XxjpiFUufdrRHt5LFEpNIHD16VH6/X5MnTw7bPnnyZLW3t0d9TXt7e9TyJ0+e1NGjR+XxRI6a9PX1qa+vL/S4u7tbkuTz+SKSrpdMVvCev3bogsI8ed/7YMjPGOR97wP5fDmaMN7cVz9h/Fj5fD7Nm5qtgpwsvdPdN8QNg1maNzVbPp9PF58zUb/42hz94P/9Se/0fPiZC3KzdNvKc3XxOROjJpo+38kBf/fJ5xp6hxzN8smN5eSwibd1Y7fz9z6asSe2Tke7PLGYLT90vVo7djt/76MZe2qPVSt9j7GWt1IskeU5Vq0USyz9wlj7nLH0aWPtL8faHx8ps4MwLsMwUj6h+9tvv62PfOQj2r17txYvXhza/sMf/lC//vWv9ac//SniNZ/4xCe0evVqrV+/PrTthRde0Kc+9Sl5vV4VFBREvGbDhg2qrq6O2P5v//ZvGj9+fNi2fUdd2no4Y9jYr5rp14KJhg53uXRP6/Dlry/ya2auoYAhVTdn6L0TUuTvAZJk6MxxUtV8v4I/Jrx8zKWH/hIcNHSFlZWkaz4R0JwJ4dUZMKTXul3q9kk5mdLHcwwxqAQAAJB+zPYLY+lzxtKnfa07tv5yrP3xkTp+/LiuvPJKdXV1KScnZ9BylhiBmjhxojIyMiJGmzo6OiJGmYIKCgqilh87dqwmTJgQ9TXr169XZWVl6HF3d7emTZumsrKyiC9pQlunth7eO2zsZaUX6ILCPPkDhv79rmeHzdavv+LC0BBp5kff0Q2PvSwp2orTLt3x5Tm65LwPP//nJM0/9I7u2P4ntXd/+OuBJ9et21aeG1YW5vh8PjU2Nmr58uXKzMxMdThIAOrUmahX56FOnYl6dYZY+5xm+7Sx9pdj7Y+PVPDqtOFYIoEaN26cFixYoMbGRn3pS18KbW9sbNRll10W9TWLFy9WXV1d2LaGhgYtXLhw0AM2KytLWVlZEdszMzMjXrN4Rr6pOfYXz8hXxhiXMiVt+MJ5qqhtlkvRdh6pqvw8ubPGhbZ/fu5UjR2bETFnfsEQc+Z/fu5UrTz/I7adN9+qou0DsDfq1JmoV+ehTp2JerW/YJ9zz1871PDcSyorvSDU741W1kyfNtb+cqz98ZEyu89aIoGSpMrKSn3jG9/QwoULtXjxYt1///06cuSI1qxZI6l/9Oitt97S1q1bJUlr1qzRPffco8rKSn3zm9/Unj179OCDD+rRRx9NSDzBG+6GruDwiRiCU0rGkhCtKPZoeVFBTAlRxhhXaKEzAAAAYDRkjHHpgsI8HXvV0AXD9E/N9mlj6S/H0x9PBsskUFdccYWOHTum22+/XV6vV8XFxdq+fbumT58uSfJ6vWFrQhUWFmr79u26+eabde+992rKlCn6+c9/rssvvzxhMZEQAQAAAOaY7dPG0l+Opz8+2iyTQEnS2rVrtXbt2qjPbdmyJWLbRRddpObm5lGNKVjBZoYvg0iIAAAAgMHF0l+OZ4BiNFkqgbKqWIYvAQAAACSWlQYoLLGQLgAAAADYAQkUAAAAAJhEAgUAAAAAJpFAAQAAAIBJJFAAAAAAYBIJFAAAAACYRAIFAAAAACaRQAEAAACASSRQAAAAAGASCRQAAAAAmEQCBQAAAAAmkUABAAAAgEkkUAAAAABgEgkUAAAAAJhEAgUAAAAAJpFAAQAAAIBJJFAAAAAAYBIJFAAAAACYRAIFAAAAACaRQAEAAACASSRQAAAAAGASCRQAAAAAmEQCBQAAAAAmkUABAAAAgEljUx1AKhmGIUnq7u4etqzP59Px48fV3d2tzMzM0Q4NSUK9Og916kzUq/NQp85EvTpPOtVpMCcI5giDSesEqqenR5I0bdq0FEcCAAAAwAp6enqUm5s76PMuY7gUy8ECgYDefvttZWdny+VyDVm2u7tb06ZN05tvvqmcnJwkRYjRRr06D3XqTNSr81CnzkS9Ok861alhGOrp6dGUKVM0Zszgdzql9QjUmDFjNHXq1Jhek5OT4/idJx1Rr85DnToT9eo81KkzUa/Oky51OtTIUxCTSAAAAACASSRQAAAAAGASCZRJWVlZqqqqUlZWVqpDQQJRr85DnToT9eo81KkzUa/OQ51GSutJJAAAAAAgFoxAAQAAAIBJJFAAAAAAYBIJFAAAAACYRAIFAAAAACaRQJm0efNmFRYWyu12a8GCBXruuedSHRJi8Oyzz6q8vFxTpkyRy+XSf/zHf4Q9bxiGNmzYoClTpui0007Tpz/9aR06dCg1wWJYGzdu1KJFi5Sdna38/Hx98Ytf1J///OewMtSp/dTU1Oj8888PLda4ePFi/e53vws9T53a38aNG+VyubRu3brQNurVfjZs2CCXyxX2p6CgIPQ8dWpPb731llatWqUJEyZo/Pjxmjt3rvbt2xd6nnr9EAmUCdu2bdO6det02223af/+/SotLdXKlSt15MiRVIcGkz744APNmTNH99xzT9Tnf/KTn+juu+/WPffcoz/+8Y8qKCjQ8uXL1dPTk+RIYcauXbv07W9/Wy+++KIaGxt18uRJlZWV6YMPPgiVoU7tZ+rUqbrzzju1d+9e7d27V8uWLdNll10WaqCpU3v74x//qPvvv1/nn39+2Hbq1Z7OO+88eb3e0J+DBw+GnqNO7efdd9/V0qVLlZmZqd/97ndqbW3VXXfdpTPPPDNUhnodwMCwSkpKjDVr1oRtO/fcc41bb701RRFhJCQZTz75ZOhxIBAwCgoKjDvvvDO0rbe318jNzTXuu+++FESIWHV0dBiSjF27dhmGQZ06yVlnnWU88MAD1KnN9fT0GDNnzjQaGxuNiy66yLjpppsMw+BYtauqqipjzpw5UZ+jTu3pe9/7nvGpT31q0Oep13CMQA3jxIkT2rdvn8rKysK2l5WVaffu3SmKConU1tam9vb2sDrOysrSRRddRB3bRFdXlyQpLy9PEnXqBH6/X4899pg++OADLV68mDq1uW9/+9u69NJL9dnPfjZsO/VqX4cPH9aUKVNUWFior33ta3r99dclUad29dRTT2nhwoX6yle+ovz8fM2bN0+/+tWvQs9Tr+FIoIZx9OhR+f1+TZ48OWz75MmT1d7enqKokEjBeqSO7ckwDFVWVupTn/qUiouLJVGndnbw4EGdccYZysrK0po1a/Tkk0+qqKiIOrWxxx57TM3Nzdq4cWPEc9SrPV1wwQXaunWrduzYoV/96ldqb2/XkiVLdOzYMerUpl5//XXV1NRo5syZ2rFjh9asWaMbb7xRW7dulcSxeqqxqQ7ALlwuV9hjwzAitsHeqGN7uv766/XKK6/o+eefj3iOOrWfc845RwcOHNB7772nxx9/XFdffbV27doVep46tZc333xTN910kxoaGuR2uwctR73ay8qVK0N/nz17thYvXqyPf/zj+td//Vd98pOflESd2k0gENDChQv1ox/9SJI0b948HTp0SDU1NbrqqqtC5ajXfoxADWPixInKyMiIyK47OjoisnDYU3DmIOrYfm644QY99dRTevrppzV16tTQdurUvsaNG6cZM2Zo4cKF2rhxo+bMmaOf/exn1KlN7du3Tx0dHVqwYIHGjh2rsWPHateuXfr5z3+usWPHhuqOerW3008/XbNnz9bhw4c5Vm3K4/GoqKgobNusWbNCE6ZRr+FIoIYxbtw4LViwQI2NjWHbGxsbtWTJkhRFhUQqLCxUQUFBWB2fOHFCu3btoo4tyjAMXX/99XriiSe0c+dOFRYWhj1PnTqHYRjq6+ujTm3q4osv1sGDB3XgwIHQn4ULF+rrX/+6Dhw4oI997GPUqwP09fXp1Vdflcfj4Vi1qaVLl0YsB/KXv/xF06dPl0S7GiFVs1fYyWOPPWZkZmYaDz74oNHa2mqsW7fOOP30043/+q//SnVoMKmnp8fYv3+/sX//fkOScffddxv79+833njjDcMwDOPOO+80cnNzjSeeeMI4ePCg8fd///eGx+Mxuru7Uxw5oqmoqDByc3ONZ555xvB6vaE/x48fD5WhTu1n/fr1xrPPPmu0tbUZr7zyivH973/fGDNmjNHQ0GAYBnXqFANn4TMM6tWOvvOd7xjPPPOM8frrrxsvvvii8fnPf97Izs4O9YuoU/tpamoyxo4da/zwhz80Dh8+bDzyyCPG+PHjjdra2lAZ6vVDJFAm3Xvvvcb06dONcePGGfPnzw9Nlwx7ePrppw1JEX+uvvpqwzD6p+esqqoyCgoKjKysLOPCCy80Dh48mNqgMahodSnJePjhh0NlqFP7ueaaa0Ln2UmTJhkXX3xxKHkyDOrUKU5NoKhX+7niiisMj8djZGZmGlOmTDG+/OUvG4cOHQo9T53aU11dnVFcXGxkZWUZ5557rnH//feHPU+9fshlGIaRmrEvAAAAALAX7oECAAAAAJNIoAAAAADAJBIoAAAAADCJBAoAAAAATCKBAgAAAACTSKAAAAAAwCQSKAAAAAAwiQQKAAAAAEwigQIApK3vfOc7Ki8vT3UYAAAbIYECAKStAwcOaO7cuakOAwBgIyRQAIC09fLLL2vevHmpDgMAYCMkUACAtPTmm2/q2LFjoRGo9957T+Xl5VqyZIm8Xm9qgwMAWBYJFAAgLR04cEC5ubkqLCzUwYMHtWjRInk8Hj3zzDPyeDypDg8AYFEkUACAtHTgwAHNmTNHjz76qC688EL90z/9k+6//36NGzcu1aEBACzMZRiGkeogAABItssvv1xPP/20JOk///M/tWTJkhRHBACwA0agAABp6cCBA7r88svV29ur9957L9XhAABsghEoAEDa6enpUW5urvbt26eXX35ZN910k3bv3q3zzjsv1aEBACxubKoDAAAg2Q4cOKCMjAwVFRVp3rx5OnTokMrLy9XU1KSJEyemOjwAgIVxCR8AIO28/PLLOvfcc5WVlSVJ+vGPf6yioiJ9+ctf1okTJ1IcHQDAyriEDwAAAABMYgQKAAAAAEwigQIAAAAAk0igAAAAAMAkEigAAAAAMIkECgAAAABMIoECAAAAAJNIoAAAAADAJBIoAAAAADCJBAoAAAAATCKBAgAAAACTSKAAAAAAwCQSKAAAAAAw6f8DrHLLsdVrb64AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dft_window_function(np.blackman(64))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison of Window Functions\n",
    "\n",
    "Besides inspecting the DTFT of the window functions also various evaluation metrics are used for the comparison or selection of window functions. Three of the most prominent measures in spectral analysis are\n",
    "\n",
    "1. **Width of the main lobe**:\n",
    "The width of the main lobe in terms of normalized frequency is measured between the two points where its maximum value is dropped by half (- 3dB). This measure is linked to the capability to detect two exponential signals with comparable levels and similar frequencies.\n",
    "\n",
    "2. **Relative amplitude of side lobes**:\n",
    "Ratio in terms of amplitude between the maximum of the main lobe and the maximum level of the side lobes. This measure is linked to the detection performance when two or more exponential signals with disparate levels and dissimilar frequencies are present.\n",
    "\n",
    "3. **Maximum sampling error**:\n",
    "Maximum amplitude error when the maximum of the main lobe is not hit by sampling the spectrum. It is defined as the ratio between the amplitude of the main lobe and the amplitude at $\\Omega = \\frac{\\pi}{N}$. This measure provides insight into the maximum possible error when extracting the amplitude of harmonic signals from their DFT.\n",
    "\n",
    "The following table lists the values of these metrics for the introduced window functions:\n",
    "\n",
    "| window function | main lobe width | side lobe level | sampling error |\n",
    "|---|:---:|:---:|:---:|\n",
    "| [rectangular](#Rectangular-Window) | $\\frac{4 \\pi}{N + 1}$ | - 13 dB | 3.92 dB |\n",
    "| [triangular](#Triangular-Window) | $\\frac{8 \\pi}{N}$ | - 25 dB | 1.82 dB |\n",
    "| [Hann](#Hann-Window) | $\\frac{8 \\pi}{N}$ | - 31 dB | 1.42 dB |\n",
    "| [Hamming](#Hamming-Window) | $\\frac{8 \\pi}{N}$ | - 41 dB | 1.78 dB |\n",
    "| [Blackman](#Blackman-Window) | $\\frac{12 \\pi}{N}$ | - 57 dB | 1.10 dB |\n",
    "\n",
    "It is evident from the table that a lower side lobe level has a wider main lobe as consequence."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Analysis of Signal Mixtures by the Windowed Discrete Fourier Transform"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The analysis of signal mixtures by the windowed DFT is illustrated by numerical examples. For this purpose, the function for the analysis of a [superposition of two exponential signals from the previous section](leakage_effect.ipynb#Analysis-of-signal-mixtures-by-the-discrete-Fourier-transformation) is extended by windowing the signal before taking its DFT."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dft_signal_mixture_window(N, *, amp1, period1, amp2, period2, window):\n",
    "    \"\"\"Calculates and plots the magnitude spectrum of two windowed superimposed exponentials.\n",
    "\n",
    "    Keyword arguments:\n",
    "    N: length of signal/DFT\n",
    "    amp1, period1 : amplitude and periodicity of 1st complex exponential\n",
    "    amp2, period2 : amplitude and periodicity of 2nd complex exponential\n",
    "    \"\"\"\n",
    "\n",
    "    # generate the signal mixture\n",
    "    Om0_1 = period1 * (2 * np.pi / N)  # frequency of 1st exponential signal\n",
    "    Om0_2 = period2 * (2 * np.pi / N)  # frequency of 2nd exponential signal\n",
    "    k = np.arange(N)\n",
    "    x = amp1 * np.exp(1j * Om0_1 * k) + amp2 * np.exp(1j * Om0_2 * k)\n",
    "    x = x * window\n",
    "\n",
    "    # DFT of the signal mixture\n",
    "    mu = np.arange(N)\n",
    "    X = np.fft.fft(x)\n",
    "\n",
    "    # plot spectrum\n",
    "    plt.figure(figsize=(10, 8))\n",
    "    plt.stem(mu, abs(X), basefmt=\" \")\n",
    "    plt.title(r\"Absolute value of the DFT of a signal mixture\")\n",
    "    plt.xlabel(r\"$\\mu$\")\n",
    "    plt.ylabel(r\"$|X[\\mu]|$\")\n",
    "    plt.axis([0, N, -0.5, abs(X).max() + 5])\n",
    "    plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now the last example is re-investigated by using a Blackman window which features a high suppression of the sidelobes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sHP/pp5+uddas2t4AVpo8ebIef/xxvfLKK7r22mu1atUqTZ8+3e17tWzZMg0bNkwLFixwe2xxcbGxxsqjemVlZW5TUZ/6pqjyubz22mvq0qWLcdxTtW/fvtY+VB3f2zp06CCbzab33nuvxqm4mzo999tvv63y8nKvTpde9ef+1Cmu6/NzX5PCwkK99dZbyszM1H333edaXlZWVmf4r2ry5MmaPHmySkpKtHnzZmVmZurSSy/V559/XuPPVOXzqOlzZjW9PnjreXhLeXm5brjhBrVr104Oh0M33XST/vWvf7kCmUlDX79OnYilqfs8gPohOAFwKS8v19KlS3XGGWdo4cKF1e5/66239MQTT+idd95xO9XljTfe0OOPP+56Y19cXKzVq1frwgsvdAsNlTp37qw77rhD//znP/Wvf/1LkjRw4ECFh4dr2bJlrpnvJOk///mP1q9f7zriVZuuXbvqk08+cVu2fv161xGvSjX9VVs6eapN27ZttW/fPt1xxx11bqs23bt314ABA7R48WKVl5errKxMkydPdlvHZrNVe4P/ySefaMuWLdVOjTtV5cxkn3zyifr16+davnr1arf1Ro8erZCQEP373/+udkpPfVx00UVasWKFDh486Hb05aWXXlJERESjpmOu7fveEJdeeqkeffRRfffdd9VOCWuqAwcO6O6771ZMTIxuu+22Zh27LiNGjJB0MlBX7en27dv12Wef6YEHHmjwmDabTZZlVfs5W7hwYYMntYiMjFRaWpqOHz+ucePGae/evTW+Me/WrZvi4+P1t7/9TTNmzHAtP3DggD744IMaj+J583l4WmZmpt577z2tW7dOkZGRGjJkiO655x499dRTrnXq2gfq+/pVm6bu8wDqh+AEwOWdd97RwYMHNXfu3Br/6p6SkqL58+frxRdfdAtOrVu31siRIzVjxgxVVFRo7ty5Kioqcl3wtLCwUMOHD9f48eN1zjnnKCoqStu3b9eaNWt0xRVXSJLatm2rWbNmaebMmZo0aZKuv/56HTp0SNnZ2QoLC1NmZmadtU+cOFGzZs3S73//ew0dOlT79u3T/Pnzq120NCUlRdLJGcCioqIUFham5ORktW/fXk8//bQyMjJ0+PBhXXXVVYqLi9MPP/yg3bt364cffqh2lKgmU6ZM0W233aaDBw9q0KBB6tatm9v9l156qR566CFlZmZq6NCh2r9/v/7whz8oOTlZJ06cqHPsSy65RLGxsbrpppv0hz/8QSEhIVqyZIm+/fZbt/W6du2qP/zhD3rggQf01VdfacyYMWrXrp2+//57bdu2TZGRka7e1CQzM1NvvfWWhg8frt///veKjY3VX//6V7399tt67LHHqn1P6yMqKkpdunTRm2++qYsuukixsbHq0KFDgy5CPHjwYN16662aPHmyduzYoSFDhigyMlJ5eXl6//331atXL02dOtU4zp49e1yfASkoKNB7772nxYsXq3Xr1lqxYoVr6nRv6Natm2699VY9/fTTrtkov/76a82aNUtJSUnVZhWsj+joaA0ZMkSPP/6463u8adMmvfjii/W68Oott9yi8PBwDR48WAkJCcrPz9ecOXMUExPjFu6qatWqlbKzs3Xbbbfpqquu0pQpU/TTTz8pOztbCQkJatWq4Z8MaOrz8JacnBzNmTNHs2bN0kUXXSTp5Ayhd999t4YNG6bLL79cktSrVy9J0lNPPaWMjAzZ7XZ169ZNUVFR9X79qk1T93kA9eTDiSkAtDDjxo2zQkNDrYKCglrXue6666yQkBArPz/fNTvW3LlzrezsbOv000+3QkNDrXPPPddau3at6zHHjh2zfv3rX1u9e/e2oqOjrfDwcKtbt25WZmamVVJS4jb+woULrd69e1uhoaFWTEyMddlll1l79+51W6em2eXKysqse++910pKSrLCw8OtoUOHWrt27ao2K5VlWda8efOs5ORkq3Xr1pYka/Hixa77Nm3aZI0dO9aKjY217Ha7ddppp1ljx461/v73v9fre1hYWGiFh4dbkqwXXnih2v1lZWXW3XffbZ122mlWWFiY1bdvX2vlypVWRkaG28xjllXzTFvbtm2zBg0aZEVGRlqnnXaalZmZaS1cuLDG2bpWrlxpDR8+3IqOjrYcDofVpUsX66qrrrLeffdd4/P49NNPrfT0dCsmJsYKDQ21UlNT3b5PVWusz6x6lmVZ7777rnXuuedaDofDkuTqS22zxZ06W2ClRYsWWQMGDLAiIyOt8PBw64wzzrAmTZpk7dixo87tV45X+RUaGmrFxcVZQ4cOtWbPnl3jz31DZ7JrzMx35eXl1ty5c62zzz7bstvtVocOHawJEyZY3377baPH/s9//mNdeeWVVrt27ayoqChrzJgx1p49e2rcH061dOlSa/jw4VanTp2s0NBQKzEx0brmmmusTz75xLVObbPYPf/889aZZ55phYaGWmeffba1aNEi67LLLrPOPfdc1zqVrxuPP/54tW2f+jNf3+fR0Fn1Tp1ZsbbvbUZGhhUZGVlrjQcPHrTi4uKsESNGWOXl5a51KioqrPT0dKtt27ZuP7/333+/lZiYaLVq1cqt3vq+fplmhmzKPg/AzGZZtUwhBAAA0AQ//fSTzj77bI0bN07PP/+8r8sBgCbhVD0AANBk+fn5euSRRzR8+HC1b99e33zzjf70pz+puLhYv/nNb3xdHgA0GcEJAAA0mcPh0Ndff61p06bp8OHDrolEnnvuOfXs2dPX5QFAk3GqHgAAAAAYcAFcAAAAADAgOAEAAACAAcEJAAAAAAyCbnKIiooKHTx4UFFRUbLZbL4uBwAAAICPWJal4uJiJSYmGi/WHXTB6eDBg0pKSvJ1GQAAAABaiG+//Vann356nesEXXCKioqSJOXm5io2NtbH1cATnE6n1q1bp1GjRslut/u6HHgAPQ589Djw0ePAR4+Dg7/3uaioSElJSa6MUJegC06Vp+dFRUUpOjrax9XAE5xOpyIiIhQdHe2XOzDM6HHgo8eBjx4HPnocHAKlz/X5CA+TQwAAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYNCigtPmzZuVnp6uxMRE2Ww2rVy5sto6n332mX71q18pJiZGUVFR+uUvf6kDBw54v1gAAAAAQaNFBaeSkhKlpqZq/vz5Nd7/73//WxdccIHOOeccbdy4Ubt379asWbMUFhbm5UoBAAAABJMQXxdQVVpamtLS0mq9/4EHHtAll1yixx57zLXsF7/4hTdKAwAAABDEWlRwqktFRYXefvtt3XvvvRo9erQ+/vhjJScn6/7779e4ceNqfVxZWZnKyspct4uKiiRJTqdTTqfT02XDByr7Sn8DFz0OfPQ48NHjwEePg4O/97khddssy7I8WEuj2Ww2rVixwhWK8vPzlZCQoIiICD388MMaPny41qxZo5kzZ2rDhg0aOnRojeNkZWUpOzu72vLly5crIiLCk08BAAAAQAtWWlqq8ePHq7CwUNHR0XWu6zfB6eDBgzrttNN0/fXXa/ny5a71fvWrXykyMlIvv/xyjePUdMQpKSlJeXl5at++vUefA3zD6XQqJydHI0eOlN1u93U58AB6HPjoceCjx4GPHgcHf+9zUVGROnToUK/g5Den6nXo0EEhISHq0aOH2/Lu3bvr/fffr/VxDodDDoej2nK73e6XzUX90ePAR48DHz0OfPQ48NHj4OCvfW5IzS1qVr26hIaGql+/ftq/f7/b8s8//1xdunTxUVUAAAAAgkGLOuJ05MgRffnll67bubm52rVrl2JjY9W5c2fdc889uvbaazVkyBDXZ5xWr16tjRs3+q5oAAAAAAGvRQWnHTt2aPjw4a7bM2bMkCRlZGRoyZIluvzyy/Xcc89pzpw5uuuuu9StWze9/vrruuCCC3xVMgAAAIAg0KKC07Bhw2Saq2LKlCmaMmWKlyoCAAAAAD/6jBMAAAAA+ArBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAxaVHDavHmz0tPTlZiYKJvNppUrV9a67m233SabzaZ58+Z5rT4AAAAAwalFBaeSkhKlpqZq/vz5da63cuVKffjhh0pMTPRSZQAAAACCWYivC6gqLS1NaWlpda7z3Xff6Y477tDatWs1duxYL1UGAAAAIJi1qOBkUlFRoYkTJ+qee+5Rz5496/WYsrIylZWVuW4XFRVJkpxOp5xOp0fqhG9V9pX+Bi56HPjoceCjx4GPHgcHf+9zQ+r2q+A0d+5chYSE6K677qr3Y+bMmaPs7Oxqyzds2KCIiIjmLA8tTE5Ojq9LgIfR48BHjwMfPQ589Dg4+GufS0tL672u3wSnjz76SE899ZR27twpm81W78fdf//9mjFjhut2UVGRkpKSNHz4cLVv394TpcLHnE6ncnJyNHLkSNntdl+XAw+gx4GPHgc+ehz46HFw8Pc+V56NVh9+E5zee+89FRQUqHPnzq5l5eXl+n//7/9p3rx5+vrrr2t8nMPhkMPhqLbcbrf7ZXNRf/Q48NHjwEePAx89Dnz0ODj4a58bUrPfBKeJEyfq4osvdls2evRoTZw4UZMnT/ZRVQAAAACCQYsKTkeOHNGXX37pup2bm6tdu3YpNjZWnTt3rnZqnd1uV3x8vLp16+btUgEAAAAEkRYVnHbs2KHhw4e7bld+NikjI0NLlizxUVUAAAAAgl2LCk7Dhg2TZVn1Xr+2zzUBAAAAQHNq5esCAAAAAKClIzgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAfqW8wtKHuYf10Y82fZh7WOUVlq9LAgAAQSDE1wUAQH2t2ZOn7NX7lFd4TFJrvfTFDiXEhCkzvYfGpCT4ujwAABDAOOIEwC+s2ZOnqct2/l9o+ll+4TFNXbZTa/bk+agyAAAQDAhOAFq88gpL2av3qaaT8iqXZa/ex2l7AADAYwhOAFq8bbmHqx1pqsqSlFd4TNtyD3uvKAAAEFQITgBavILi2kNTY9YDAABoKIITgBYvLiqsWdcDAABoKIITgBavf3KsEmLCZKvlfpukhJgw9U+O9WZZAAAgiBCcALR4rVvZlJneQ5KqhafK25npPdS6VW3RCgAAoGkITgD8wpiUBC2Y0Fdx0Q635fExYVowoS/XcQIAAB7FBXAB+I0xKQkafGYH9cpaJ0laOPFcDe+ewJEmAADgcRxxAuBXqoakfl3bEZoAAIBXEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGDQooLT5s2blZ6ersTERNlsNq1cudJ1n9Pp1O9+9zv16tVLkZGRSkxM1KRJk3Tw4EHfFQwAAAAgKLSo4FRSUqLU1FTNnz+/2n2lpaXauXOnZs2apZ07d+qNN97Q559/rl/96lc+qBQAAABAMAnxdQFVpaWlKS0trcb7YmJilJOT47bs6aefVv/+/XXgwAF17ty5xseVlZWprKzMdbuoqEjSySNYTqezmSpHS1LZV/obmJzOE27/p8+Bif048NHjwEePg4O/97khdbeo4NRQhYWFstlsatu2ba3rzJkzR9nZ2dWWb9iwQRERER6sDr52atBGYCgrlypfutavXy9Ha5+WAw9jPw589Djw0ePg4K99Li0trfe6NsuyLA/W0mg2m00rVqzQuHHjarz/2LFjuuCCC3TOOedo2bJltY5T0xGnpKQk5eXlqX379s1dNloAp9OpnJwcjRw5Una73dfloJmVHj+h1IfWS5J23DdEMZFhPq4InsB+HPjoceCjx8HB3/tcVFSkDh06qLCwUNHR0XWu65dHnJxOp6677jpVVFTo2WefrXNdh8Mhh8NRbbndbvfL5qL+6HFgslu2n/9vD6HHAY79OPDR48BHj4ODv/a5ITX7XXByOp265pprlJubq/Xr1xuTIQAAAAA0lV8Fp8rQ9MUXX2jDhg2cagcAAADAK1pUcDpy5Ii+/PJL1+3c3Fzt2rVLsbGxSkxM1FVXXaWdO3fqrbfeUnl5ufLz8yVJsbGxCg0N9VXZAAAAAAJciwpOO3bs0PDhw123Z8yYIUnKyMhQVlaWVq1aJUnq06eP2+M2bNigYcOGeatMAAAAAEGmRQWnYcOGqa5J/lroBIAAAAAAAlwrXxcAAAAAAC0dwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwCDE1wUAQEtSXmFpW+5hFRQfU1xUmPonx6p1K5uvywIAAD5GcAKA/7NmT56yV+9TXuEx17KEmDBlpvfQmJQEH1YGAAB8jVP1AEAnQ9PUZTvdQpMk5Rce09RlO7VmT56PKgMAAC0BwQlA0CuvsJS9ep+sGu6rXJa9ep/KK2paAwAABAOCE4Cgty33cLUjTVVZkvIKj2lb7mHvFQUAAFoUghOAoFdQXHtoasx6AAAg8BCcAAS9uKiwZl0PAAAEHoITgKDXPzlWCTFhqm3ScZtOzq7XPznWm2UBAIAWhOAEIOi1bmVTZnoPSaoWnipvZ6b34HpOAAAEMYITAEgak5KgBRP6Ki7a4bY8PiZMCyb05TpOAAAEOS6ACwD/Z0xKggaf2UG9stZJkpZM7qcLz+rIkSYAANCyjjht3rxZ6enpSkxMlM1m08qVK93utyxLWVlZSkxMVHh4uIYNG6a9e/f6plgAAalqSOqfHEtoAgAAklpYcCopKVFqaqrmz59f4/2PPfaYnnzySc2fP1/bt29XfHy8Ro4cqeLiYi9XCgAAACCYtKhT9dLS0pSWllbjfZZlad68eXrggQd0xRVXSJKWLl2qTp06afny5brtttu8WSoAAACAINKiglNdcnNzlZ+fr1GjRrmWORwODR06VB988EGtwamsrExlZWWu20VFRZIkp9Mpp9Pp2aLhE5V9pb+Byek84fb/5u6z+/hOOW1Ws46P+mE/Dnz0OPDR4+Dg731uSN1+E5zy8/MlSZ06dXJb3qlTJ33zzTe1Pm7OnDnKzs6utnzDhg2KiIho3iLRouTk5Pi6BHhAWblU+dK1fv16OVp7bvy1a9c1+/hoGPbjwEePAx89Dg7+2ufS0tJ6r+s3wamSzeb+QW3Lsqotq+r+++/XjBkzXLeLioqUlJSk4cOHq3379h6rE77jdDqVk5OjkSNHym63+7ocNLPS4yd077b1kqQRI0YoJjLMY+OPHj1KEaF+9zIZENiPAx89Dnz0ODj4e58rz0arD795RxAfHy/p5JGnhISfr6dSUFBQ7ShUVQ6HQw6Ho9pyu93ul81F/dHjwGS3fv5Did0e0uw9dh/fLrvdb14mAxL7ceCjx4GPHgcHf+1zQ2puUbPq1SU5OVnx8fFuhwGPHz+uTZs2adCgQT6sDAAAAECga1F/Sj1y5Ii+/PJL1+3c3Fzt2rVLsbGx6ty5s6ZPn67Zs2frrLPO0llnnaXZs2crIiJC48eP92HVAAAAAAJdiwpOO3bs0PDhw123Kz+blJGRoSVLlujee+/V0aNHNW3aNP33v//VgAEDtG7dOkVFRfmqZAAAAABBoEUFp2HDhsmyap/612azKSsrS1lZWd4rCgAAAEDQ85vPOAEAAACArxCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAQUhDVk5OTpbNZmvwRqZPn6677rqrwY8DAAAAgJagQcFpyZIljdpI165dG/U4AAAAAGgJGhSchg4d6qk6AAAAAKDFalBwWrVqVYM3MHLkSIWHhzf4cQAAAADQUjQoOI0bN65Bg9tsNn3xxRf6xS9+0aDHAQAAAEBL0uBZ9fLz81VRUVGvr4iICE/UDAAAAABe1aDglJGR0aDT7iZMmKDo6OgGFwUAAAAALUmDTtVbvHhxgwZfsGBBg9YHAAAAgJao0RfA/fbbb5uzDgAAAABosRp0xKmqLl26qF27dkpNTVVqaqr69Omj1NRUlZWV6ZlnntFLL73UnHUCAAAAgM80Ojh99dVX2rVrl3bt2qWPP/5Yr732mg4ePChJfK4JAAAAQEBpdHDq2rWrunbt6jZF+ZYtW5SRkaG5c+c2R20AAAAA0CI0+jNONRk4cKCeeuopPfzww805LAAAAAD4VKODk9PprHH5WWedpb179za6IAAAAABoaRp9ql5kZKR69Oihc889V3369NG5556rxMREPf300xo1alRz1ggAAAAAPtXo4LR+/Xrt3r1bu3fv1l//+lfNnDlTR48elSSNGjVKDzzwgHr37q3evXure/fuzVYwAAAAAHhbo4PTBRdcoAsuuMB1u6KiQvv373fNtPfRRx9p0aJFKigoUHl5ebMUCwAAAAC+0KDg9MknnyglJUWtWlX/aFSrVq3UvXt3de/eXddff70kac+ePYqJiWmeSgEAAADARxo0OcS5556rQ4cO1Xv9QYMG1TqJBAAAAAD4iwYdcbIsS7NmzVJERES91j9+/HijigIAAACAlqRBwWnIkCHav39/vdcfOHCgwsPDG1wUAAAAALQkDQpOGzdu9FAZAAAAANByNfgCuK+//ron6gAAAACAFqvBwWn8+PH605/+VOc6lmU1uiAAAAAAaGkaHJxWrVqlrKws3XXXXdUCUnl5uZYsWcIFbwEAAAAElAYHp9GjR2vz5s1asWKFrrjiCh09elTHjx/XggULdOaZZ2rGjBm69tprPVErAAAAAPhEgyaHqJSamqqtW7fqkksu0S9/+Uv9+OOPcjqdmj59uu68805FRUU1d50AAAAA4DONCk6FhYVatGiRvvvuO5WWlspms2nr1q3q1atXc9cHAAAAAD7X4FP17r//fnXp0kVLlizR7Nmz9cMPP+jqq6/WxRdfrO3bt3uiRgAAAADwqQYHp5UrV+rPf/6zPv/8c916662KjIzUkiVLdOutt2r48OF68803PVGnJOnEiRN68MEHlZycrPDwcP3iF7/QH/7wB1VUVHhsmwAAAADQ4FP19u3bJ5vNVm35Qw89pC5duujaa6/VH//4R91xxx3NUmBVc+fO1XPPPaelS5eqZ8+e2rFjhyZPnqyYmBj95je/afbtAQAAAIDUiOBUU2iqdPPNN+u0007TNddc45HgtGXLFl122WUaO3asJKlr1656+eWXtWPHjlofU1ZWprKyMtftoqIiSZLT6ZTT6Wz2GuF7lX2lv4HJ6Tzh9v/m7rP7+E45bVyXzhfYjwMfPQ589Dg4+HufG1J3oyaHqEtaWpo2bdrU3MNKki644AI999xz+vzzz3X22Wdr9+7dev/99zVv3rxaHzNnzhxlZ2dXW75hwwZFRER4pE60DDk5Ob4uAR5QVi5VvnStX79ejtaeG3/t2nXNPj4ahv048NHjwEePg4O/9rm0tLTe69qsU69iW4fk5OQ6jzjVZvr06brrrrsa/LhTWZalmTNnau7cuWrdurXKy8v1yCOP6P7776/1MTUdcUpKSlJeXp7at2/f5JrQ8jidTuXk5GjkyJGy2+2+LgfNrPT4CaU+tF6StOO+IYqJDPPY+LtnjVBEaLP/fQn1wH4c+Ohx4KPHwcHf+1xUVKQOHTqosLBQ0dHRda7boHcES5YsaVRBXbt2bdTjTvXqq69q2bJlWr58uXr27Kldu3Zp+vTpSkxMVEZGRo2PcTgccjgc1Zbb7Xa/bC7qjx4HJrv18x9v7PaQZu+x+/h22e0EJ19iPw589Djw0ePg4K99bkjNDXpHMHTo0AYX05zuuece3XfffbruuuskSb169dI333yjOXPm1BqcAAAAAKCpGjwduS+VlpaqVSv3klu3bs105AAAAAA8yq/OQUlPT9cjjzyizp07q2fPnvr444/15JNPasqUKb4uDQAAAEAA86vg9PTTT2vWrFmaNm2aCgoKlJiYqNtuu02///3vfV0aAAAAgADmV8EpKipK8+bNq3P6cQAAAABobn71GScAAAAA8AWCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA78LTt99950mTJig9u3bKyIiQn369NFHH33k67IAAAAABLAQXxfQEP/97381ePBgDR8+XO+8847i4uL073//W23btvV1aQAAAAACmF8Fp7lz5yopKUmLFy92LevatavvCgIAAAAQFPwqOK1atUqjR4/W1VdfrU2bNum0007TtGnTdMstt9T6mLKyMpWVlbluFxUVSZKcTqecTqfHa4b3VfaV/gYmp/OE2/+bu8/u4zvltFnNOj7qh/048NHjwEePg4O/97khddssy/KbdwVhYWGSpBkzZujqq6/Wtm3bNH36dP3P//yPJk2aVONjsrKylJ2dXW358uXLFRER4dF6ATS/snLp3m0n/+bzWP8TcrT2r/EBAEDLUVpaqvHjx6uwsFDR0dF1rutXwSk0NFTnn3++PvjgA9eyu+66S9u3b9eWLVtqfExNR5ySkpKUl5en9u3be7xmeJ/T6VROTo5Gjhwpu93u63LQzEqPn1DqQ+slSTvuG6KYyDCPjb971ghFhPrVgfmAwX4c+Ohx4KPHwcHf+1xUVKQOHTrUKzj51TuChIQE9ejRw21Z9+7d9frrr9f6GIfDIYfDUW253W73y+ai/uhxYLJbtp//bw9p9h67j2+X3e5XL5MBh/048NHjwEePg4O/9rkhNfvVdOSDBw/W/v373ZZ9/vnn6tKli48qAgAAABAM/Co4/fa3v9XWrVs1e/Zsffnll1q+fLmef/553X777b4uDQAAAEAA86vg1K9fP61YsUIvv/yyUlJS9NBDD2nevHm64YYbfF0aAAAAgADmdyfvX3rppbr00kt9XQYAAACAIOJXR5wAAAAAwBf87ogTgJatvMLSttzDKig+prioMPVPjlXrVjbzAwEAAFowghOAZrNmT56yV+9TXuEx17KEmDBlpvfQmJQEH1YGAADQNJyqB6BZrNmTp6nLdrqFJknKLzymqct2as2ePB9VBgAA0HQEJwBNVl5hKXv1Plk13Fe5LHv1PpVX1LQGAABAy0dwAtBk23IPVzvSVJUlKa/wmLblHvZeUQAAAM2I4ASgyQqKaw9NjVkPAACgpSE4AWiyuKiwZl0PAACgpSE4AWiy/smxSogJU22Tjtt0cna9/smx3iwLAACg2RCcADRZ61Y2Zab3kKRq4anydmZ6D67nBAAA/BbBCUCzGJOSoAUT+iou2uG2PD4mTAsm9OU6TgAAwK9xAVwAzWZMSoIGn9lBvbLWSZKWTO6nC8/qyJEmAADg9zjiBKBZVQ1J/ZNjCU0AACAgEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAz8OjjNmTNHNptN06dP93UpAAAAAAKY3wan7du36/nnn1fv3r19XQoAAACAAOeXwenIkSO64YYb9MILL6hdu3a+LgcAAABAgAvxdQGNcfvtt2vs2LG6+OKL9fDDD9e5bllZmcrKyly3i4qKJElOp1NOp9OjdcI3KvtKf33D6TxR5f9OOW2WB8c/0ex99nT9qB/248BHjwMfPQ4O/t7nhtTtd8HplVde0c6dO7V9+/Z6rT9nzhxlZ2dXW75hwwZFREQ0d3loQXJycnxdQlAqK5cqX1rWrl0nR2vPjb9+/XqPju+J+tEw7MeBjx4HPnocHPy1z6WlpfVe16+C07fffqvf/OY3WrduncLCwur1mPvvv18zZsxw3S4qKlJSUpKGDx+u9u3be6pU+JDT6VROTo5Gjhwpu93u63KCTunxE7p323pJ0ujRoxQR2rwvM1XHHzFihGIi6/da0JjxPVE/6of9OPDR48BHj4ODv/e58my0+vCrdwQfffSRCgoKdN5557mWlZeXa/PmzZo/f77KysrUurX7n4cdDoccDke1sex2u182F/VHj33Dbtl+/r/dLru9eV9m3McPafYee7p+NAz7ceCjx4GPHgcHf+1zQ2r2q3cEF110kT799FO3ZZMnT9Y555yj3/3ud9VCEwAAAAA0B78KTlFRUUpJSXFbFhkZqfbt21dbDgAAAADNxS+nIwcAAAAAb/KrI0412bhxo69LAAAAABDgOOIEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADAhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYhvi4AAIJNeYWlbbmHVVB8THFRYeqfHKvWrWy+LgsAANSB4AQAXrRmT56yV+9TXuEx17KEmDBlpvfQmJQEH1YGAADqwql6AOAla/bkaeqynW6hSZLyC49p6rKdWrMnz0eVAQAAE4ITAHhBeYWl7NX7ZNVwX+Wy7NX7VF5R0xoAAMDXCE4A4AXbcg9XO9JUlSUpr/CYtuUe9l5RAACg3ghOAOAFBcW1h6bGrAcAALyL4AQAXhAXFdas6wEAAO8iOAGAF/RPjlVCTJhqm3TcppOz6/VPjvVmWQAAoJ4ITgDgBa1b2ZSZ3kOSqoWnytuZ6T24nhMAAC0UwQkAvGRMSoIWTOiruGiH2/L4mDAtmNCX6zgBANCCcQFcAPCiMSkJGnxmB/XKWidJWjK5ny48qyNHmgAAaOE44gQAXlY1JPVPjiU0AQDgBwhOAAAAAGBAcAIAAAAAA4ITAAAAABgQnAAAAADAgOAEAAAAAAYEJwAAAAAwIDgBAAAAgAHBCQAAAAAMCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwMCvgtOcOXPUr18/RUVFKS4uTuPGjdP+/ft9XRYAAACAAOdXwWnTpk26/fbbtXXrVuXk5OjEiRMaNWqUSkpKfF0aAAAAgAAW4usCGmLNmjVutxcvXqy4uDh99NFHGjJkiI+qAgAAABDo/Co4naqwsFCSFBsbW+s6ZWVlKisrc90uKiqSJDmdTjmdTs8WCJ+o7Cv99Q2n80SV/zvltFkeHP9Es/fZ0/V7axv+jv048NHjwEePg4O/97khddssy/LL39iWZemyyy7Tf//7X7333nu1rpeVlaXs7Oxqy5cvX66IiAhPlggEpbJy6d5tJ/8m81j/E3K0ZnxfbAMAAJiVlpZq/PjxKiwsVHR0dJ3r+m1wuv322/X222/r/fff1+mnn17rejUdcUpKSlJeXp7at2/vjVLhZU6nUzk5ORo5cqTsdruvywk6pcdPKPWh9ZKk3bNGKCK0eQ9sVx1/x31DFBMZ5rHxPVG/t7bh79iPAx89Dnz0ODj4e5+LiorUoUOHegUnv/xtfeedd2rVqlXavHlznaFJkhwOhxwOR7XldrvdL5uL+qPHvmG3bD//326X3d68LzPu44c0e489Xb+3thEo2I8DHz0OfPQ4OPhrnxtSs1/9trYsS3feeadWrFihjRs3Kjk52dclAQAAAAgCfhWcbr/9di1fvlxvvvmmoqKilJ+fL0mKiYlReHi4j6sDAAAAEKj86jpOCxYsUGFhoYYNG6aEhATX16uvvurr0gAAAAAEML864uSn81gAAAAA8HN+dcQJAAAAAHyB4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkA0KKUV1j6MPewPvrRpg9zD6u8wvJ1SQAAKMTXBQAAUGnNnjxlr96nvMJjklrrpS92KCEmTJnpPTQmJcHX5QEAghhHnAAALcKaPXmaumzn/4Wmn+UXHtPUZTu1Zk+ejyoDAIDgBABoAcorLGWv3qeaTsqrXJa9eh+n7QEAfIbgBADwuW25h6sdaarKkpRXeEzbcg97rygAAKogOAEAfK6guPbQ1Jj1AABobgQnAIDPxUWFNet6AAA0N4ITAMDn+ifHKiEmTLZa7rdJSogJU//kWG+WBQCAC8EJAOBzrVvZlJneQ5KqhafK25npPdS6VW3RCgAAzyI4AQBahDEpCVowoa/ioh1uy+NjwrRgQl+u4wQA8CkugAsAaDHGpCRo8Jkd1CtrnSRp4cRzNbx7AkeaAAA+xxEnAECLUjUk9evajtAEAGgROOIEAAg65RWWtuUeVkHxMcVFnZx0goAGAKgLwQkAEFTW7MlT9up9bhfcTYgJU2Z6Dz5HBQCoFafqAQCCxpo9eZq6bKdbaJKk/MJjmrpsp9bsyfNRZQCAlo7gBAAICuUVlrJX75NVw32Vy7JX71N5RU1rAACCHcEJABAUtuUernakqSpLUl7hMW3LPey9ogAAfoPgBAAICgXFtYemxqwHAAguBCcAQFCIiwpr1vUAAMGF4AQACAr9k2OVEBOm2iYdt+nk7Hr9k2O9WRYAwE8QnAAAQaF1K5sy03tIUrXwVHk7M70H13MCANSI4AQACBpjUhK0YEJfxUU73JbHx4RpwYS+XMcJAFArLoALAAgqY1ISNPjMDuqVtU6StGRyP114VkeONAEA6kRwAgA0SHmFpW25h1VQfExxUSc/E+RvoaNqvf5YPwDA+whOQJAJhDe98J01e/KUvXqf2/WQEmLClJneg9PcAAABjeAEBBHe9KIp1uzJ09RlO2Wdsjy/8JimLtvJZ4QAAAGNySGAIFH5prdqaJJ+ftO7Zk+ejyqDPyivsJS9el+10CTJtSx79T6VV9S0BgAA/o/gBAQB3vSiqbblHq4WuquyJOUVHtO23MPeKwoAAC8iOAFBgDe9aKqC4tp/fhqzHgAA/obgBAQB3vSiqeKiwpp1PQAA/A3BCQgCvOlFU/VPjlVCTJhqm3/RppMTjfRPjvVmWQAAeA3BCQgCvOlFU7VuZVNmeg9JqvZzVHk7M70HU9sDAAIWwQkIArzpRXMYk5KgBRP6Ki7a4bY8PiaMqcgBAAGP4AQECd70ojmMSUnQuzOGum4vmdxP7/9uBD8/AICAxwVwgSAyJiVBg8/soF5Z6ySdfNN74VkdOdKEBqn689I/OZafHwBAUOCIExBkeNMLAADQcBxxAgCgmZVXWNqWe1gFxccUFxXGHykAIAAQnAAAaEZr9uQpe/U+t4tOJ8SEKTO9B58FAwA/xql6AAA0kzV78jR12U630CRJ+YXHNHXZTq3Zk+ejygAATUVwAgCgGZRXWMpevU9WDfdVLstevU/lFTWtAQBo6QhOAAA0g225h6sdaarKkpRXeEzbcg97rygAQLMhOAEA0AwKimsPTY1ZDwDQsjA5BAAEGGZ08424qLBmXQ8A0LIQnAAggDCjm+/0T45VQkyY8guP1fg5J5uk+JiTQRYA4H84VQ8BpbzC0oe5h/XRjzZ9mHu42T+EXV5hacu/D+nNXd9py78PeeRD3t7YBgITM7r5VutWNmWm95B0MiRVVXk7M71Hsxz98/TrhDfG9+RrNQB4QtAecdrxzX91cbvmPX3F06fHeOP0G39+Du5/aW+tl77Y0ax/affGX/I5WoDGMs3oZtPJGd1G9ojntD0PGpOSoAUT+ipz1V59X1TmWh7vR69F3h2/+V+rK/nz77NAGb8yHLfPPayBZ8bxniXAxq/chif73NJOPffL4PTss8/q8ccfV15ennr27Kl58+bpwgsvbNAYt/zlY5229hs//UXT/ON7YxueHL/yL+2nvmms/Ev7ggl9m7QNT4/vrW0gcDVkRreBZ7T3XmFBaExKggaf2UG9stZJkpZM7qcLz+rYLL/s/f21zluvc/78+yzwxvdMOA6s75H/jV99G/75B+uG8rtT9V599VVNnz5dDzzwgD7++GNdeOGFSktL04EDBxo8VnOdvuLp02O8cfqNPz8HT187xRvXZuH6L2gqZnRrWaqGpOb6C6m/v9Z563XOn3+fMX7L2Abj+34bLfXUc78LTk8++aRuuukm3XzzzerevbvmzZunpKQkLViwoMFj+cMvgkB40+7p8T197RRvXJuF67+gqZjRLfD5+2udN17n/P33GeP7fhuM7/tttOQ/JvvVqXrHjx/XRx99pPvuu89t+ahRo/TBBx/U+JiysjKVlf18nnlRUZHb/ZUv1Fu+LNCARsx09GE9fxG01PG9sQ1Pj5/3U0m913M6o1vc+N7aRiWn80SV/zvltDXvC493xz8hp9PpwfGbv35PbePc06MUH+3Q90Vldczo5tC5p0c1+Xvm7z2uvg3/2A/8/bXOG69z/v77jPF9vw3G9/02vPEcqmrI7xi/Ck4//vijysvL1alTJ7flnTp1Un5+fo2PmTNnjrKzs41jr3vvQx36rOG/2D760Saptd+O741teHr8rwrrN/5Xe3fpH//5uMWN761tVPXUwJP/bnx3XZPH8uX4/9q03qPje6p+T23jknibFhVVnkhQ9dQwS5aktE6lWrvmnWbZlr/3uOo2/GU/8PfXOm+8zvn77zPG9/02GN/32/DGc6iqtLS03uv6VXCqZLO5nytuWVa1ZZXuv/9+zZgxw3W7qKhISUlJ1dYbdeGARqXW9rmH9dIXO4zrtdTxvbENT49fXmHptSc2G//Sfse1Qxr1OQNPj++tbQQSp9OpnJwcjRw5Una73dfltBiXSOq793s9/I//VX6VGd0SYsL0QNo5Gt2zU+0PbmHocXX+/lrnjdc5f/99xvi+3wbj+34b3ngOVZ16Nlpd/Co4dejQQa1bt652dKmgoKDaUahKDodDDoej1jErL0jY2OkTB54ZV68LHrbU8b2xDU+Pb5eU9auemrpsp2yS2zZ+vnZKT4U5Qhs8tjfG99Y2ApHdbudN9Sku7XO60nqf1qKmb20Kevwzf3+t88brnL//PmN832+D8X2/DW88h6oa8jvGryaHCA0N1XnnnaecnBy35Tk5ORo0aFCDx2uOCxJ6+oKH3rigYiA8h8prp8THuH/wPT4mrFmmt/X0+N7aBoJD61Y2DTyjvS7rc5oGntHeb0MTqvP31zpPj+/vv88Y3/fbYHzfb8ObFxNvKJtlWd6fkqIJXn31VU2cOFHPPfecBg4cqOeff14vvPCC9u7dqy5duhgfX1RUpJiYGCVN/5tOi4v1m7nmuY5T/ZRXWNryZYHWvfehRl04wC8vxNbSLvbWEjmdTv3jH//QJZdcwtGIAEWP6+bvF8709Gu1v/8+Y3zfb4Pxfb8Nb13HqTIbFBYWKjq67olp/C44SScvgPvYY48pLy9PKSkp+tOf/qQhQ4bU67GV35w1H32hi/uc4Xe/aPz9Tbs3ngNvuAIfPQ589DjwebrH/v77LBDG92Q4rtyGv3+P/Hn8ym34+x+sGxKc/OozTpWmTZumadOmNWmM87u0a/ZvfOXpMZ7i6fG9sQ1vPAcAAPz991kgjD8gOVaHPrM0wENnTgTC98ifx6/chif73NLeN/rVZ5wAAAAAwBcITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADEJ8XYC3WZYlSSouLpbdbvdxNfAEp9Op0tJSFRUV0eMARY8DHz0OfPQ48NHj4ODvfS4qKpL0c0aoS9AFp0OHDkmSkpOTfVwJAAAAgJaguLhYMTExda4TdMEpNjZWknTgwAHjNwf+qaioSElJSfr2228VHR3t63LgAfQ48NHjwEePAx89Dg7+3mfLslRcXKzExETjukEXnFq1OvmxrpiYGL9sLuovOjqaHgc4ehz46HHgo8eBjx4HB3/uc30PpjA5BAAAAAAYEJwAAAAAwCDogpPD4VBmZqYcDoevS4GH0OPAR48DHz0OfPQ48NHj4BBMfbZZ9Zl7DwAAAACCWNAdcQIAAACAhiI4AQAAAIABwQkAAAAADAhOAAAAAGAQVMHp2WefVXJyssLCwnTeeefpvffe83VJaEZZWVmy2WxuX/Hx8b4uC02wefNmpaenKzExUTabTStXrnS737IsZWVlKTExUeHh4Ro2bJj27t3rm2LRKKYe33jjjdX261/+8pe+KRaNMmfOHPXr109RUVGKi4vTuHHjtH//frd12Jf9W316zL7s3xYsWKDevXu7LnI7cOBAvfPOO677g2UfDprg9Oqrr2r69Ol64IEH9PHHH+vCCy9UWlqaDhw44OvS0Ix69uypvLw819enn37q65LQBCUlJUpNTdX8+fNrvP+xxx7Tk08+qfnz52v79u2Kj4/XyJEjVVxc7OVK0VimHkvSmDFj3Pbrf/zjH16sEE21adMm3X777dq6datycnJ04sQJjRo1SiUlJa512Jf9W316LLEv+7PTTz9djz76qHbs2KEdO3ZoxIgRuuyyy1zhKGj2YStI9O/f3/r1r3/ttuycc86x7rvvPh9VhOaWmZlppaam+roMeIgka8WKFa7bFRUVVnx8vPXoo4+6lh07dsyKiYmxnnvuOR9UiKY6tceWZVkZGRnWZZdd5pN64BkFBQWWJGvTpk2WZbEvB6JTe2xZ7MuBqF27dtbChQuDah8OiiNOx48f10cffaRRo0a5LR81apQ++OADH1UFT/jiiy+UmJio5ORkXXfddfrqq698XRI8JDc3V/n5+W77tcPh0NChQ9mvA8zGjRsVFxens88+W7fccosKCgp8XRKaoLCwUJIUGxsriX05EJ3a40rsy4GhvLxcr7zyikpKSjRw4MCg2oeDIjj9+OOPKi8vV6dOndyWd+rUSfn5+T6qCs1twIABeumll7R27Vq98MILys/P16BBg3To0CFflwYPqNx32a8DW1pamv76179q/fr1euKJJ7R9+3aNGDFCZWVlvi4NjWBZlmbMmKELLrhAKSkpktiXA01NPZbYlwPBp59+qjZt2sjhcOjXv/61VqxYoR49egTVPhzi6wK8yWazud22LKvaMvivtLQ01/979eqlgQMH6owzztDSpUs1Y8YMH1YGT2K/DmzXXnut6/8pKSk6//zz1aVLF7399tu64oorfFgZGuOOO+7QJ598ovfff7/afezLgaG2HrMv+79u3bpp165d+umnn/T6668rIyNDmzZtct0fDPtwUBxx6tChg1q3bl0t9RYUFFRLxwgckZGR6tWrl7744gtflwIPqJwxkf06uCQkJKhLly7s137ozjvv1KpVq7RhwwadfvrpruXsy4Gjth7XhH3Z/4SGhurMM8/U+eefrzlz5ig1NVVPPfVUUO3DQRGcQkNDdd555yknJ8dteU5OjgYNGuSjquBpZWVl+uyzz5SQkODrUuABycnJio+Pd9uvjx8/rk2bNrFfB7BDhw7p22+/Zb/2I5Zl6Y477tAbb7yh9evXKzk52e1+9mX/Z+pxTdiX/Z9lWSorKwuqfThoTtWbMWOGJk6cqPPPP18DBw7U888/rwMHDujXv/61r0tDM7n77ruVnp6uzp07q6CgQA8//LCKioqUkZHh69LQSEeOHNGXX37pup2bm6tdu3YpNjZWnTt31vTp0zV79mydddZZOuusszR79mxFRERo/PjxPqwaDVFXj2NjY5WVlaUrr7xSCQkJ+vrrrzVz5kx16NBBl19+uQ+rRkPcfvvtWr58ud58801FRUW5/iodExOj8PBw2Ww29mU/Z+rxkSNH2Jf93MyZM5WWlqakpCQVFxfrlVde0caNG7VmzZrg2od9Np+fDzzzzDNWly5drNDQUKtv375u02TC/1177bVWQkKCZbfbrcTEROuKK66w9u7d6+uy0AQbNmywJFX7ysjIsCzr5DTGmZmZVnx8vOVwOKwhQ4ZYn376qW+LRoPU1ePS0lJr1KhRVseOHS273W517tzZysjIsA4cOODrstEANfVXkrV48WLXOuzL/s3UY/Zl/zdlyhTXe+iOHTtaF110kbVu3TrX/cGyD9ssy7K8GdQAAAAAwN8ExWecAAAAAKApCE4AAAAAYEBwAgAAAAADghMAAAAAGBCcAAAAAMCA4AQAAAAABgQnAAAAADAgOAEAAACAAcEJAAAAAAwITgAAAABgQHACAASN999/X3a7XWVlZa5lubm5stls+uabb3xYGQCgpSM4AQCCxq5du9S9e3c5HA63ZW3btlWXLl18WBkAoKUjOAEAgsbu3bt17rnnui3btWuXUlNTfVQRAMBfEJwAAEFj165d6tOnj9uyjz/+mOAEADAiOAEAgkJ5ebn27t1b7YjTzp07q4UpAABORXACAASF/fv36+jRo0pMTHQt27Jli7777juOOAEAjAhOAICgsGvXLknS008/rS+++ELvvPOOJk2aJElus+wBAFATghMAICjs2rVLI0eOVG5urlJSUjRz5kw9+uijio6O1jPPPOPr8gAALZzNsizL10UAAOBpo0ePVt++fTVnzhxflwIA8EMccQIABIXdu3erd+/evi4DAOCnCE4AgICXn5+v77//nuAEAGg0TtUDAAAAAAOOOAEAAACAAcEJAAAAAAwITgAAAABgQHACAAAAAAOCEwAAAAAYEJwAAAAAwIDgBAAAAAAGBCcAAAAAMCA4AQAAAIABwQkAAAAADP4/tnqXIRdQc3AAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dft_signal_mixture_window(\n",
    "    32, amp1=1, period1=10.3, amp2=0.1, period2=15.2, window=np.blackman(32)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The second exponential signal with the lower level now becomes visible in the spectrum."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise**\n",
    "\n",
    "* Examine the effect of the other window functions for small/large frequency and level differences. What window function is best suited for what situation?\n",
    "\n",
    "Solution: The rectangular window function is well suited to identify two or more exponential signals with comparable amplitudes and only minor differences in frequency. This is due to its narrow main lobe. Window functions that feature a higher decay of the side lobes are well suited for the identification of exponential signals with rather different levels and frequencies."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "nbsphinx": "hidden"
   },
   "source": [
    "**Copyright**\n",
    "\n",
    "This notebook is provided as [Open Educational Resource](https://en.wikipedia.org/wiki/Open_educational_resources). Feel free to use the notebook for your own purposes. The text is licensed under [Creative Commons Attribution 4.0](https://creativecommons.org/licenses/by/4.0/), the code of the IPython examples under the [MIT license](https://opensource.org/licenses/MIT). Please attribute the work as follows: *Sascha Spors, Digital Signal Processing - Lecture notes featuring computational examples*."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
